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render = function render(){var _vm=this,_c=_vm._self._c;return _c('div',[_c('h3',{ref:\"ca\"},[_vm._v(\"\\n      Complementary Angles\\n    \")]),_c('p',[_vm._v(\"\\n      Two angles are said to be the complement of each other when their sum is equal to 90 degrees.\\n      For example, if angle α and β are complementary angles, then they are related as follows:\\n      $$\\\\alpha + \\\\beta  = 90^o$$\\n      Geometrically, this means that when such two angles are put adjacent to each other, they will form a right-angled corner.\\n    \")]),_c('br'),_c('v-layout',{attrs:{\"justify-center\":\"\"}},[_c('v-img',{attrs:{\"src\":\"/assets/complimentary_angles.png\",\"max-height\":\"450px\",\"max-width\":\"450px\",\"contain\":\"\"}})],1),_c('h5',{staticStyle:{\"text-align\":\"center\"}},[_vm._v(\"\\n      Figure: Example of complimentary angles.\\n    \")]),_c('h3',{ref:\"sa\"},[_vm._v(\"\\n      Supplementary Angles\\n    \")]),_c('p',[_vm._v(\"\\n      Two angles are said to be the supplement of each other when their sum is equal to 180 degrees.\\n      For example, if angle α and β are supplementary angles, then they are related as follows:\\n      $$\\\\gamma + \\\\delta  = 180^o$$\\n      Geometrically, this means that when such two angles are put adjacent to each other, they form a straight line.\\n    \")]),_c('v-layout',{attrs:{\"justify-center\":\"\"}},[_c('v-img',{attrs:{\"src\":\"/assets/supplementary_angles.png\",\"max-height\":\"450px\",\"max-width\":\"450px\",\"contain\":\"\"}})],1),_c('h5',{staticStyle:{\"text-align\":\"center\"}},[_vm._v(\"\\n      Figure: Example of supplementary angles.\\n    \")]),_c('h3',{ref:\"ra\"},[_vm._v(\"\\n      Special Remarks\\n    \")]),_c('p',[_vm._v(\"  Based on the definitions of complementary and supplementary angles, following conclusions can be drawn:\")]),_vm._m(0),_c('br'),_c('h3',{ref:\"playgraph\"},[_vm._v(\"\\n      MagicGraph | Complementary and Supplementary Angles\\n    \")]),_c('p',[_vm._v(\"\\n      This MagicGraph offers a geometric approach to understanding complementary and supplementary angles.\\n    \")]),_c('v-responsive',[_c('v-layout',{attrs:{\"justify-center\":\"\"}},[_c('div',{staticClass:\"edliy-box-about\",attrs:{\"id\":\"jxgbox1\"}})])],1)],1)\n}\nvar staticRenderFns = [function (){var _vm=this,_c=_vm._self._c;return _c('ul',{staticStyle:{\"list-style-type\":\"square\"}},[_c('li',[_vm._v(\"Two acute angles can complement to each other, but they could never be supplementary. \")]),_c('li',[_vm._v(\" Two obtuse angles can neither be supplementary nor complementary. \")]),_c('li',[_vm._v(\" Two right angles can only be supplementary. \")]),_c('li',[_vm._v(\" One acute angle and one obtuse angle can be the supplement of each other.\")])])\n}]\n\nexport { render, staticRenderFns }","import {\r\n    makeResponsive,\r\n    placeTitle,\r\n    placeImage,\r\n    placeInput,\r\n    placeSlider,\r\n    hoverMe,\r\n    placeRec,\r\n    hiddenPt,\r\n    fixedPt,\r\n    clearInputFields,\r\n    dragMe,\r\n    placeArrow,\r\n    placeGravity,\r\n    placeText,\r\n    placeMiddleText,\r\n    placeLine,\r\n    placePoint,\r\n    placeGlider,\r\n    placeRuler,\r\n    placeLeftText,\r\n    placeCircle,\r\n    placeAngle,\r\n    placeDash,\r\n    placeLabel,\r\n    placeRightText,\r\n//placePoint(board, positionX, positionY, size, cols1, cols2)\r\n//placeDash(board, Pt1, Pt2, width, cols)\r\n    placeArc,\r\n    placeLogo,\r\n    placeErase,\r\n    placeShuffle,\r\n    placeTest,\r\n    placeSeg,\r\n    setConfig,\r\n    placeStat,\r\n    placeLeft,\r\n    placeRight\r\n} from '../../../../common/edliy_utils-fractions';\r\nconst Boxes = {\r\n  box1: function () {\r\n  JXG.Options.board.minimizeReflow = 'none';\r\n  var brd1 = JXG.JSXGraph.initBoard('jxgbox1',{boundingbox: [-1, 20, 20, -1], keepaspectratio: true, axis:false, ticks:{visible:false},\r\n    grid:true, showCopyright:false, showNavigation:false,\r\n    pan:{enabled:false}, zoom:{enabled:false}});\r\nbrd1.options.point.showInfobox =false;\r\nbrd1.options.point.highlight =false;\r\nbrd1.suspendUpdate();\r\n//Making the board responsive\r\nmakeResponsive(brd1);\r\n//placing a Logo\r\nplaceLogo(brd1);\r\n      //\r\nvar title = brd1.create('text', [9.5, 18, '<b> Complementary Angles<b>'],{fixed:true, anchorX:'middle', anchorY:'middle',CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(28*brd1.canvasWidth/500.)}},);\r\nvar subtitle = brd1.create('text', [9.5, 16, ' The sum of such two angles is 90° '],{fixed:true, anchorX:'middle', anchorY:'middle',CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(18*brd1.canvasWidth/500.)}},);\r\n\r\nvar title2 = brd1.create('text', [9.5, 18, '<b> Supplementary Angles <b>'],{fixed:true, anchorX:'middle', anchorY:'middle', visible: false, CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(28*brd1.canvasWidth/500.)}},);\r\nvar subtitle2 = brd1.create('text', [9.5, 16, ' The sum of such two angles is 180° '],{fixed:true, anchorX:'middle', anchorY:'middle',visible: false, CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(18*brd1.canvasWidth/500.)}, fixed:true},);\r\n\r\nvar subtitle3 = brd1.create('text', [0, 18, ' Can you find the pairs of complementary and supplementary angles? '],{visible: false, CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(18*brd1.canvasWidth/500.)},fixed:true});\r\n\r\nvar text1 = brd1.create('text', [2, 3.5, ' Complementary '],{fixed:true, visible: false, CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(18*brd1.canvasWidth/500.)}},);\r\nvar text2 = brd1.create('text', [13, 3.5, ' Supplementary '],{fixed:true, visible: false, CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(18*brd1.canvasWidth/500.)}},);\r\n\r\n//var score1 = 0;\r\n//var score2 = 0;\r\n\r\n//var scoretxt2 = brd1.create('text', [18, 16.5,  function (){return  score1 + score2}],{visible: false, color: 'black', CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(28*brd1.canvasWidth/500.)}},);\r\n\r\n//COMPLEMENTARY\r\n\r\n//Variables complementary\r\nvar Pt1_90_comp = brd1.create('point', [6,5],{visible: false, name:' ', size:2, strokeColor:'black', fillColor: 'red', snapToGrid:false, label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar Pt2_90_comp = brd1.create('point', [14, 5],{visible: false, name:' ', size:2, strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar Pt3_90_comp = brd1.create('point', [6, 13],{visible: false, name:' ', size:2,  strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\n\r\nvar Pt1_60_comp = brd1.create('point', [8,7],{visible: false, name:' ', size:2, strokeColor:'black', fillColor: 'red', snapToGrid:false, label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar Pt3_60_comp = brd1.create('point', [8, 13],{visible: false, name:' ', size:2,  strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar Pt2_30_comp_fixed = brd1.create('point', [14, 7],{visible: false, name:' ', size:2, strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar circle_comp = brd1.create('arc', [Pt1_60_comp, Pt2_30_comp_fixed, Pt3_60_comp], {dash:1, strokeWidth:1, strokeColor:'grey', visible:true});\r\nvar Pt2_60_comp = brd1.create('glider', [13, 10 , circle_comp ],{visible: true, name:'Drag Me!', size:2, strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\nvar Pt1_30_comp = brd1.create('point', [function(){return Pt1_60_comp.X()},function(){return Pt1_60_comp.Y()}],{visible: false, name:'A', size:2, strokeColor:'black', fillColor: 'red', snapToGrid:true, label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar Pt2_30_comp = brd1.create('point', [14, 7],{visible: false, name:'B', size:2, strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\n//Sides of the triangle complementary\r\nvar AB_90_comp = brd1.create('segment', [Pt1_90_comp, Pt2_90_comp], {strokeColor:'black', dash: 1 , strokeWidth:2, fixed:true});\r\nvar AC_90_comp = brd1.create('segment', [Pt1_90_comp, Pt3_90_comp], {strokeColor:'black', dash: 1, strokeWidth:2, fixed:true});\r\n\r\nvar AB_60_comp = brd1.create('segment', [Pt1_60_comp, Pt2_60_comp], {strokeColor:'black', strokeWidth:1, fixed:true});\r\nvar AC_60_comp = brd1.create('segment', [Pt1_60_comp, Pt3_60_comp], {strokeColor:'black', strokeWidth:1, fixed:true});\r\n\r\nvar AB_30_comp = brd1.create('segment', [Pt1_30_comp, Pt2_30_comp], {strokeColor:'black', strokeWidth:1, fixed:true});\r\n\r\n//Angles complementary\r\nvar ang90_comp = brd1.create('angle', [Pt2_90_comp, Pt1_90_comp, Pt3_90_comp],{name:'90^o',visible: true,  strokeColor:'green', fillColor:'green', radius:1.5, label: {fontSize:function(){return 18*brd1.canvasHeight/800}, color:'green', cssStyle:'fontFamily:Oswald;'}});\r\n\r\n//var ang90_compTxt = brd1.create('angle', [Pt2_90_comp, Pt1_90_comp, Pt3_90_comp],{name: function(){ return (180*ang90_comp.Value()/Math.PI).toFixed(0)  + '°'}, radius:1, strokeColor:'green', fillColor:'green', label: {color: 'green', fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\nvar ang60_comp = brd1.create('angle', [Pt2_60_comp, Pt1_60_comp, Pt3_60_comp],{name:()=> '&beta;='+Math.round(JXG.Math.Geometry.rad(Pt2_60_comp, Pt1_60_comp, Pt3_60_comp)*180/Math.PI)+'^o', visible:true, radius:2, strokeColor:'red', fillColor:'red', label: {fontSize:function(){return 18*brd1.canvasHeight/800},color:'red',cssStyle:'fontFamily:Oswald;'}});\r\n\r\nvar ang30_comp = brd1.create('angle', [Pt2_30_comp, Pt1_30_comp, Pt2_60_comp],{name:()=> '&alpha;='+ Math.round(JXG.Math.Geometry.rad(Pt2_30_comp, Pt1_30_comp, Pt2_60_comp)*180/Math.PI)+'^o', visible: true, radius:2, strokeColor:'blue', fillColor:'blue', label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\n\r\n//SUPPLEMENTARY\r\n\r\n//Variables supplementary\r\nvar Pt1_180_sup = brd1.create('point', [8,5],{visible: false, name:' ', size:2, strokeColor:'black', fillColor: 'red', snapToGrid:false, label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar Pt2_180_sup = brd1.create('point', [2, 5],{visible: false, name:' ', size:2, strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar Pt3_180_sup = brd1.create('point', [14, 5],{visible: false, name:' ', size:2,  strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\n\r\nvar Pt1_135_sup = brd1.create('point', [8,7],{visible: false, name:' ', size:2, strokeColor:'black', fillColor: 'red', snapToGrid:false, label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar Pt3_135_sup = brd1.create('point', [2, 7],{visible: false, name:' ', size:2,  strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar Pt2_45_sup_fixed = brd1.create('point', [14, 7],{visible: false, name:' ', size:2, strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar circle_sup = brd1.create('arc', [Pt1_135_sup, Pt2_45_sup_fixed, Pt3_135_sup], {visible:false, dash:1, strokeWidth:1, strokeColor:'grey'});\r\nvar Pt2_135_sup = brd1.create('glider', [13, 10 , circle_sup ],{visible: false, name:'Drag Me!', size:2, strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\nvar Pt1_45_sup = brd1.create('point', [function(){return Pt1_135_sup.X()},function(){return Pt1_135_sup.Y()}],{visible: false, name:'A', size:2, strokeColor:'black', fillColor: 'red', snapToGrid:true, label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar Pt2_45_sup = brd1.create('point', [14, 7],{visible: false, name:'B', size:2, strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\n//Sides of the triangle supplementary\r\nvar AB_180_sup = brd1.create('segment', [Pt1_180_sup, Pt2_180_sup], {visible: false,strokeColor:'black', dash: 1 , strokeWidth:2, fixed:true});\r\nvar AC_180_sup = brd1.create('segment', [Pt1_180_sup, Pt3_180_sup], {visible: false,strokeColor:'black', dash: 1, strokeWidth:2, fixed:true});\r\n\r\nvar AB_135_sup = brd1.create('segment', [Pt1_135_sup, Pt2_135_sup], {visible: false,strokeColor:'black', strokeWidth:1, fixed:true});\r\nvar AC_135_sup = brd1.create('segment', [Pt1_135_sup, Pt3_135_sup], {visible: false,strokeColor:'black', strokeWidth:1, fixed:true});\r\n\r\nvar AB_45_sup = brd1.create('segment', [Pt1_45_sup, Pt2_45_sup], {visible: false,strokeColor:'black', strokeWidth:1, fixed:true});\r\n\r\n//Angles supplementary\r\nvar ang180_sup = brd1.create('angle', [Pt3_180_sup, Pt1_180_sup, Pt2_180_sup],{name:'180^o', visible: false,  strokeColor:'green', fillColor:'green', label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n//var ang180_supTxt = brd1.create('angle', [Pt3_180_sup, Pt1_180_sup, Pt2_180_sup],{visible: false,name: function(){ return (180*ang180_sup.Value()/Math.PI).toFixed(0)  + '°'}, radius:1, strokeColor:'green', fillColor:'green', label: {offset: [-15, -15], color: 'green', fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\nvar ang135_sup = brd1.create('angle', [Pt2_135_sup, Pt1_135_sup, Pt3_135_sup],{visible:false, name:()=> '&gamma;='+ Math.round(JXG.Math.Geometry.rad(Pt2_135_sup, Pt1_135_sup, Pt3_135_sup)*180/Math.PI)+'^o',  radius:1, strokeColor:'red', fillColor:'red', label: {color:'red',fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n//var ang135_supTxt = brd1.create('angle', [Pt2_135_sup, Pt1_135_sup, Pt3_135_sup],{visible: false,name: function(){ return (180*ang135_sup.Value()/Math.PI).toFixed(0)  + '°'}, radius:1, strokeColor:'red', fillColor:'red', label: {color: 'red', fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\nvar ang45_sup = brd1.create('angle', [Pt2_45_sup, Pt1_45_sup, Pt2_135_sup],{visible:false, name:()=> '&delta;='+ Math.round(JXG.Math.Geometry.rad(Pt2_45_sup, Pt1_45_sup, Pt2_135_sup)*180/Math.PI)+'^o',  radius:1, strokeColor:'blue', fillColor:'blue', label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n//var ang45_supTxt = brd1.create('angle', [Pt2_45_sup, Pt1_45_sup, Pt2_135_sup],{visible: false,name: function(){ return (180*ang45_sup.Value()/Math.PI).toFixed(0)  + '°'}, radius:1, strokeColor:'blue', fillColor:'blue', label: {offset: [10, -15], color: 'blue', fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\n\r\n//THIRD STEP\r\n\r\nvar point1_90_comp = brd1.create('point', [2,5],{visible: false, fixed: true, name:'', size:2, strokeColor:'black', fillColor: 'red', snapToGrid:false, label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar point2_90_comp = brd1.create('point', [6, 5],{visible: false, fixed: true, name:' ', size:2, strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar point3_90_comp = brd1.create('point', [2, 9],{visible: false, fixed: true, name:' ', size:2,  strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\nvar sideAB_90_comp = brd1.create('segment', [point1_90_comp, point2_90_comp], {visible: false, strokeColor:'black', dash: 1 , strokeWidth:2, fixed:true});\r\nvar sideAC_90_comp = brd1.create('segment', [point1_90_comp, point3_90_comp], {visible: false, strokeColor:'black', dash: 1, strokeWidth:2, fixed:true});\r\n\r\nvar point1_180_sup = brd1.create('point', [15,5],{visible: false, fixed: true, name:' ', size:2, strokeColor:'black', fillColor: 'red', snapToGrid:false, label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar point2_180_sup = brd1.create('point', [19, 5],{visible: false, fixed: true, name:' ', size:2, strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar point3_180_sup = brd1.create('point', [11, 5],{visible: false, fixed: true, name:' ', size:2,  strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\nvar sideAB_180_sup = brd1.create('segment', [point1_180_sup, point2_180_sup], {visible: false, strokeColor:'black', dash: 1 , strokeWidth:2, fixed:true});\r\nvar sideAC_180_sup = brd1.create('segment', [point1_180_sup, point3_180_sup], {visible: false, strokeColor:'black', dash: 1, strokeWidth:2, fixed:true});\r\n\r\n\r\n//SHUFFLE\r\n\r\nvar shuffle = brd1.create('image', ['/assets/shuffle.svg', [12, 1.2], [1.5 , 1.5]], {visible: false, fixed: true});\r\n//REDO AND UNDO\r\nvar redo = placeRight(brd1);\r\n//brd1.create('image', ['/assets/redo.svg', [10, 1.2], [1.5 , 1.5]], {visible: true, fixed: true});\r\nvar undo = placeLeft(brd1);\r\n//brd1.create('image', ['/assets/undo.svg', [8, 1.2], [1.5 , 1.5]], {visible: true, fixed: true});\r\nvar rnd = 60;\r\nvar rnd2 = 45;\r\nshuffle.on('down',function(){\r\n    score1 = 0;\r\n    score2 = 0;\r\n\r\n    p_1_blue.moveTo([15, 12], 10);\r\n    p_1_red.moveTo([2, 12], 10);\r\n    p_1_orange.moveTo([10, 12], 10);\r\n    p_1_green.moveTo([7, 12], 10);\r\n\r\n    rnd = Math.round(Math.random()*120);\r\n    rnd2 = Math.round(Math.random()*80);\r\n\tcheckmark1.setAttribute({visible:false});\r\n\tcheckmark2.setAttribute({visible:false});\r\n\r\n});\r\n\r\n//Little angle 1\r\n\r\nvar p_1_blue = brd1.create('point', [15,12],{visible: false, name:'Drag me!', attractors: [point1_90_comp, point1_180_sup], attractorDistance: 1, size:2, strokeColor:'black', fillColor: 'red', snapToGrid:false, label: {anchorX:'middle', offset:[-5, -10],fontSize:function(){return 12*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar p_2_blue = brd1.create('point', [function(){return p_1_blue.X() + 3},  function(){return p_1_blue.Y()}], {visible: false, name:' ', size:2, strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar p_3_blue = brd1.create('point', [function(){return p_1_blue.X() + 3*Math.cos(rnd.valueOf()*Math.PI/180)},  function(){return p_1_blue.Y() + 3*Math.sin(rnd.valueOf()*Math.PI/180) }], {visible: false, name:' ', size:2,  strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\nvar AB_little_1 = brd1.create('segment', [p_1_blue, p_2_blue], {visible: false,strokeColor:'black', dash: 0 , strokeWidth:1, fixed:true});\r\nvar AC_little_1 = brd1.create('segment', [p_1_blue, p_3_blue], {visible: false,strokeColor:'black', dash: 0 , strokeWidth:1, fixed:true});\r\n\r\nvar littleAngle_1txt = brd1.create('angle', [p_2_blue, p_1_blue, p_3_blue],{name:()=>(JXG.Math.Geometry.rad(p_2_blue, p_1_blue, p_3_blue)*180/Math.PI).toFixed(0) +'°' , visible: false,  strokeColor:'blue', fillColor:'blue', label: {color: 'blue', offset: [0 , -10],fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\n//Little angle 2\r\n\r\nvar p_1_red = brd1.create('point', [2,12],{anchorX:'middle', visible: false, name:'Drag me!', attractors: [point1_90_comp, point1_180_sup], attractorDistance: 1, size:2, strokeColor:'black', fillColor: 'red', snapToGrid:false, label: {offset:[-5, -10], fontSize:function(){return 12*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar p_2_red = brd1.create('point', [function(){return p_1_red.X() },  function(){return p_1_red.Y()+ 3}], {visible: false, name:' ', size:2, strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar p_3_red = brd1.create('point', [function(){return p_1_red.X() + 3*Math.sin(rnd2.valueOf()*Math.PI/180)},  function(){return p_1_red.Y() + 3*Math.cos(rnd2.valueOf()*Math.PI/180) }], {visible: false, name:' ', size:2,  strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\nvar AB_little_2 = brd1.create('segment', [p_1_red, p_2_red], {visible: false,strokeColor:'black', dash: 0 , strokeWidth:1, fixed:true});\r\nvar AC_little_2 = brd1.create('segment', [p_1_red, p_3_red], {visible: false,strokeColor:'black', dash: 0 , strokeWidth:1, fixed:true});\r\n\r\nvar littleAngle_2txt = brd1.create('angle', [p_3_red, p_1_red, p_2_red],{name:()=>(JXG.Math.Geometry.rad(p_3_red, p_1_red, p_2_red)*180/Math.PI).toFixed(0) +'°' , visible: false,  strokeColor:'red', fillColor:'red', label: {color: 'red' , offset: [-5 , 0], fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\n//Little angle 3\r\n\r\nvar p_1_green = brd1.create('point', [7,12],{visible: false, name:'Drag me!', attractors: [point1_90_comp, point1_180_sup], attractorDistance: 1, size:2, strokeColor:'black', fillColor: 'red', snapToGrid:false, label: {anchorX:'middle', offset:[-5, -10], fontSize:function(){return 12*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar p_2_green = brd1.create('point', [function(){return p_1_green.X() -3 },  function(){return p_1_green.Y()}], {visible: false, name:' ', size:2, strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar p_3_green = brd1.create('point', [function(){return p_1_green.X() + 3*Math.sin((90-rnd.valueOf())*Math.PI/180)},  function(){return p_1_green.Y() + 3*Math.cos((90-rnd.valueOf())*Math.PI/180) }], {visible: false, name:' ', size:2,  strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\nvar AB_little_3 = brd1.create('segment', [p_1_green, p_2_green], {visible: false,strokeColor:'black', dash: 0 , strokeWidth:1, fixed:true});\r\nvar AC_little_3 = brd1.create('segment', [p_1_green, p_3_green], {visible: false,strokeColor:'black', dash: 0 , strokeWidth:1, fixed:true});\r\n\r\nvar littleAngle_3txt = brd1.create('angle', [p_3_green, p_1_green, p_2_green],{name:()=>(JXG.Math.Geometry.rad(p_3_green, p_1_green, p_2_green)*180/Math.PI).toFixed(0) +'°' , visible: false,  strokeColor:'green', fillColor:'green', label: {color: 'green' ,offset: [-5 , -10],fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\n//Little angle 4\r\n\r\nvar p_1_orange = brd1.create('point', [10,12],{visible: false, name:'Drag me!', attractors: [point1_90_comp, point1_180_sup], attractorDistance: 1, size:2, strokeColor:'black', fillColor: 'red', snapToGrid:false, label: {anchorX:'middle',offset:[-5, -10], fontSize:function(){return 12*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar p_2_orange = brd1.create('point', [function(){return p_1_orange.X() + 3},  function(){return p_1_orange.Y()}], {visible: false, name:' ', size:2, strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\nvar p_3_orange = brd1.create('point', [function(){return p_1_orange.X() + 3*Math.cos((90-rnd2.valueOf())*Math.PI/180)},  function(){return p_1_orange.Y() + 3*Math.sin((90-rnd2.valueOf())*Math.PI/180) }], {visible: false, name:' ', size:2,  strokeColor:'black', snapToGrid:false,label: {fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\nvar AB_little_4 = brd1.create('segment', [p_1_orange, p_2_orange], {visible: false,strokeColor:'black', dash: 0 , strokeWidth:1, fixed:true});\r\nvar AC_little_4 = brd1.create('segment', [p_1_orange, p_3_orange], {visible: false,strokeColor:'black', dash: 0 , strokeWidth:1, fixed:true});\r\n\r\nvar littleAngle_4txt = brd1.create('angle', [p_2_orange, p_1_orange, p_3_orange],{name:()=>(JXG.Math.Geometry.rad(p_2_orange, p_1_orange, p_3_orange)*180/Math.PI).toFixed(0) +'°' ,  visible: false,  strokeColor:'orange', fillColor:'orange', label: {color: 'orange' ,offset: [0 , -10], fontSize:function(){return 18*brd1.canvasHeight/800}, cssStyle:'fontFamily:Oswald;'}});\r\n\r\nvar i =0;\r\nvar maxSteps = 2;\r\nvar checkmark1 = brd1.create('image', ['/assets/check.svg', [1, 3.], [1. , 1.]], {visible: false, fixed: true});\r\nvar checkmark2 = brd1.create('image', ['/assets/check.svg', [12, 3.], [1. , 1.]], {visible: false, fixed: true});\r\n\r\n\r\n//setInterval(checkPosition, 100);\r\nvar score1 =0;\r\nvar score2 =0;\r\nvar checkPosition = function(){\r\n\tscore1 =0;\r\n\tscore2 =0;\r\n\tcheckmark1.setAttribute({visible:false});\r\n\tcheckmark2.setAttribute({visible:false});\r\n    if(p_1_orange.X() == point1_90_comp.X() && p_1_orange.Y() == point1_90_comp.Y() &&\r\n    p_1_red.X() == point1_90_comp.X() && p_1_red.Y() == point1_90_comp.Y())\r\n    {\r\n     score1 = 0.5;\r\n\t checkmark1.setAttribute({visible:true});\r\n    }\r\n    if(p_1_green.X() == point1_180_sup.X() && p_1_green.Y() == point1_180_sup.Y() &&\r\n    p_1_blue.X() == point1_180_sup.X() && p_1_blue.Y() == point1_180_sup.Y() )\r\n    {\r\n    score2 = 0.5;\r\n\tcheckmark2.setAttribute({visible:true});\r\n    }\r\n    else{\r\n        return;\r\n    }\r\n}\r\np_1_red.on('up', function(){checkPosition()});\r\np_1_blue.on('up',function(){checkPosition()});\r\np_1_green.on('up',function(){checkPosition()});\r\np_1_orange.on('up',function(){checkPosition()});\r\nvar scoretxt1 = brd1.create('text', [9.5, 16.5,  function(){return 'Score = '+ (score1+score2).toFixed(1)}],{ anchorX:'middle', anchorY:'middle', visible: false, color: 'black', CssStyle:'fontFamily:Oswald',fontSize:function(){return Math.round(28*brd1.canvasWidth/500.)},fixed:true});\r\n\r\nfunction updateStepTexts(){\r\n    eraseText();\r\n\r\n    if (i<=0){\r\n\t\tcircle_comp.setAttribute({visible:true});\r\n        AB_90_comp.setAttribute({visible: true});\r\n        AC_90_comp.setAttribute({visible: true});\r\n        AB_60_comp.setAttribute({visible: true});\r\n        AC_60_comp.setAttribute({visible: true});\r\n        AB_30_comp.setAttribute({visible: true});\r\n        ang90_comp.setAttribute({visible: true});\r\n        ang60_comp.setAttribute({visible: true});\r\n        ang30_comp.setAttribute({visible:true});\r\n        title.setAttribute({visible: true});\r\n        subtitle.setAttribute({visible: true});\r\n        Pt2_60_comp.setAttribute({visible: true});\r\n    }\r\n    if(i==1){\r\n        circle_sup.setAttribute({visible:true});\r\n        title2.setAttribute({visible: true});\r\n        subtitle2.setAttribute({visible: true});\r\n        AB_180_sup.setAttribute({visible: true});\r\n        AC_180_sup.setAttribute({visible: true});\r\n        AB_135_sup.setAttribute({visible: true});\r\n        AC_135_sup.setAttribute({visible: true});\r\n        AB_45_sup.setAttribute({visible: true});\r\n        ang180_sup.setAttribute({visible: true});\r\n        ang135_sup.setAttribute({visible: true});\r\n        ang45_sup.setAttribute({visible: true});\r\n        Pt2_135_sup.setAttribute({visible: true});\r\n    }\r\n\r\n    if(i==2){\r\n\r\n        subtitle3.setAttribute({visible: true});\r\n        text1.setAttribute({visible: true});\r\n        text2.setAttribute({visible: true});\r\n\r\n        point1_90_comp.setAttribute({visible: true});\r\n        point1_180_sup.setAttribute({visible: true});\r\n\r\n        sideAB_90_comp.setAttribute({visible: true});\r\n        sideAC_90_comp.setAttribute({visible: true});\r\n\r\n        sideAB_180_sup.setAttribute({visible: true});\r\n        sideAC_180_sup.setAttribute({visible: true});\r\n\r\n        p_1_blue.setAttribute({visible: true});\r\n        AB_little_1.setAttribute({visible: true});\r\n        AC_little_1.setAttribute({visible: true});\r\n        littleAngle_1txt.setAttribute({visible: true});\r\n\r\n        p_1_red.setAttribute({visible: true});\r\n        AB_little_2.setAttribute({visible: true});\r\n        AC_little_2.setAttribute({visible: true});\r\n        littleAngle_2txt.setAttribute({visible: true});\r\n\r\n        p_1_green.setAttribute({visible: true});\r\n        AB_little_3.setAttribute({visible: true});\r\n        AC_little_3.setAttribute({visible: true});\r\n        littleAngle_3txt.setAttribute({visible: true});\r\n\r\n        p_1_orange.setAttribute({visible: true});\r\n        AB_little_4.setAttribute({visible: true});\r\n        AC_little_4.setAttribute({visible: true});\r\n        littleAngle_4txt.setAttribute({visible: true});\r\n\r\n       scoretxt1.setAttribute({visible: true});\r\n       shuffle.setAttribute({visible: true});\r\n\r\n    }\r\n\r\n}\r\n\r\nfunction eraseText(){\r\n\tcircle_sup.setAttribute({visible:false});\r\n    circle_comp.setAttribute({visible:false});\r\n    p_1_blue.moveTo([15, 12], 10);\r\n    p_1_red.moveTo([2, 12], 10);\r\n    p_1_orange.moveTo([10, 12], 10);\r\n    p_1_green.moveTo([7, 12], 10);\r\n\r\n    Pt2_60_comp.setAttribute({visible: false});\r\n\t checkmark1.setAttribute({visible:false});\r\n\t \t checkmark2.setAttribute({visible:false});\r\n    AB_90_comp.setAttribute({visible: false});\r\n    AC_90_comp.setAttribute({visible: false});\r\n    AB_60_comp.setAttribute({visible: false});\r\n    AC_60_comp.setAttribute({visible: false});\r\n    AB_30_comp.setAttribute({visible: false});\r\n\r\n    ang90_comp.setAttribute({visible: false});\r\n    ang60_comp.setAttribute({visible: false});\r\n    ang30_comp.setAttribute({visible: false});\r\n\r\n    title.setAttribute({visible: false});\r\n    subtitle.setAttribute({visible: false});\r\n\r\n    title2.setAttribute({visible: false});\r\n    subtitle2.setAttribute({visible: false});\r\n\r\n    Pt2_135_sup.setAttribute({visible: false});\r\n\r\n    AB_180_sup.setAttribute({visible: false});\r\n    AC_180_sup.setAttribute({visible: false});\r\n    AB_135_sup.setAttribute({visible: false});\r\n    AC_135_sup.setAttribute({visible: false});\r\n    AB_45_sup.setAttribute({visible: false});\r\n\r\n    ang180_sup.setAttribute({visible: false});\r\n    ang135_sup.setAttribute({visible: false});\r\n    ang45_sup.setAttribute({visible: false});\r\n\r\n    subtitle3.setAttribute({visible: false});\r\n    text1.setAttribute({visible: false});\r\n    text2.setAttribute({visible: false});\r\n\r\n    point1_90_comp.setAttribute({visible: false});\r\n    point1_180_sup.setAttribute({visible: false});\r\n\r\n    sideAB_90_comp.setAttribute({visible: false});\r\n    sideAC_90_comp.setAttribute({visible: false});\r\n\r\n    sideAB_180_sup.setAttribute({visible: false});\r\n    sideAC_180_sup.setAttribute({visible: false});\r\n\r\n    p_1_blue.setAttribute({visible: false});\r\n    AB_little_1.setAttribute({visible: false});\r\n    AC_little_1.setAttribute({visible: false});\r\n    littleAngle_1txt.setAttribute({visible: false});\r\n\r\n    p_1_red.setAttribute({visible: false});\r\n    AB_little_2.setAttribute({visible: false});\r\n    AC_little_2.setAttribute({visible: false});\r\n    littleAngle_2txt.setAttribute({visible: false});\r\n\r\n    p_1_green.setAttribute({visible: false});\r\n    AB_little_3.setAttribute({visible: false});\r\n    AC_little_3.setAttribute({visible: false});\r\n    littleAngle_3txt.setAttribute({visible: false});\r\n\r\n    p_1_orange.setAttribute({visible: false});\r\n    AB_little_4.setAttribute({visible: false});\r\n    AC_little_4.setAttribute({visible: false});\r\n    littleAngle_4txt.setAttribute({visible: false});\r\n\r\n    scoretxt1.setAttribute({visible: false});\r\n\r\n    shuffle.setAttribute({visible: false});\r\n}\r\n\r\nredo.on('down',function(){\r\n    i = i+1;\r\n    if (i > maxSteps){\r\n        i = maxSteps;\r\n    }\r\n    updateStepTexts();\r\n});\r\n\r\nundo.on('down',function(){\r\n    i=i-1;\r\n    if (i < 0){\r\n        i = 0;\r\n    }\r\n    eraseText();\r\n    updateStepTexts();\r\n});\r\n\r\nbrd1.unsuspendUpdate();\r\n},\r\n}\r\nexport default Boxes;\r\n","<template>\r\n  <div>\r\n    <h3 ref=\"ca\">\r\n      Complementary Angles\r\n    </h3>\r\n    <p>\r\n      Two angles are said to be the complement of each other when their sum is equal to 90 degrees.\r\n      For example, if angle &alpha; and &beta; are complementary angles, then they are related as follows:\r\n      $$\\alpha + \\beta  = 90^o$$\r\n      Geometrically, this means that when such two angles are put adjacent to each other, they will form a right-angled corner.\r\n    </p>\r\n    <br>\r\n    <v-layout justify-center>\r\n      <v-img src=\"/assets/complimentary_angles.png\"\r\n             max-height=\"450px\"\r\n             max-width=\"450px\"\r\n             contain\r\n      />\r\n    </v-layout>\r\n    <h5 style=\"text-align:center\">\n      Figure: Example of complimentary angles.\n    </h5>\r\n    <h3 ref=\"sa\">\r\n      Supplementary Angles\r\n    </h3>\r\n    <p>\r\n      Two angles are said to be the supplement of each other when their sum is equal to 180 degrees.\r\n      For example, if angle &alpha; and &beta; are supplementary angles, then they are related as follows:\r\n      $$\\gamma + \\delta  = 180^o$$\r\n      Geometrically, this means that when such two angles are put adjacent to each other, they form a straight line.\r\n    </p>\r\n    <v-layout justify-center>\r\n      <v-img src=\"/assets/supplementary_angles.png\"\r\n             max-height=\"450px\"\r\n             max-width=\"450px\"\r\n             contain\r\n      />\r\n    </v-layout>\r\n    <h5 style=\"text-align:center\">\n      Figure: Example of supplementary angles.\n    </h5>\r\n    <h3 ref=\"ra\">\r\n      Special Remarks\r\n    </h3>\r\n    <p>  Based on the definitions of complementary and supplementary angles, following conclusions can be drawn:</p>\r\n    <ul style=\"list-style-type: square;\">\r\n      <li>Two acute angles can complement to each other, but they could never be supplementary. </li>\r\n      <li> Two obtuse angles can neither be supplementary nor complementary. </li>\r\n      <li> Two right angles can only be supplementary. </li>\r\n      <li> One acute angle and one obtuse angle can be the supplement of each other.</li>\r\n    </ul>\r\n    <br>\r\n    <h3 ref=\"playgraph\">\r\n      MagicGraph &vert; Complementary and Supplementary Angles\r\n    </h3>\r\n    <p>\r\n      This MagicGraph offers a geometric approach to understanding complementary and supplementary angles.\n    </p>\r\n    <!--    <h5> To Get Started: </h5>\r\n    <p>\r\n    You are given a triangle formed by points O, A and B.\r\n    The vertices O, A, and B of the triangle can be dragged and moved around to change\r\n    the type (i.e., acute, obtuse or right) and size of the triangle.\r\n    You will be able to see that the three interior angles &alpha;, &beta; and &gamma; change as the vertices are dragged around.\r\n    </p>\r\n<h5> To Explore:</h5>\r\n    <p>\r\n Drag points O, A and B of the triangle to change the type (i.e., acute, obtuse or right) and size of the triangle OAB.\r\n Then, tap on the two scissors to cut out the angles &alpha; and &beta;.\r\n No matter what type or size of the triangle you choose, the three interior\r\n angles &alpha;, &beta; and &gamma; always form a half circle when stacked adjacent to each other.\r\n </p> -->\r\n    <v-responsive>\r\n      <v-layout justify-center>\r\n        <div id=\"jxgbox1\" class=\"edliy-box-about\" />\r\n      </v-layout>\r\n    </v-responsive>\r\n  </div>\r\n</template>\r\n<script>\r\nimport Boxes from './Boxes.js'\r\nexport default {\r\n  name: 'Angles',\r\n  created: function () {\r\n      this.$store.commit('navigation/resetState');\r\n    // Store mutations\r\n    let title = 'Complementary & Supplementary Angles';\r\n    this.$store.commit('navigation/changeTitle', title);\r\n    this.$store.commit('navigation/changeMenu', title);\r\n    let newTopics = [\r\n      {title: 'complementary Angle', img:'/assets/number-1.svg', action: () => this.goto('ca')},\r\n      {title: 'Supplementary Angle', img:'/assets/number-2.svg', action: () => this.goto('sa')},\r\n      {title: 'Special Remarks', img:'/assets/number-3.svg', action: () => this.goto('ra')},\r\n      {title: 'MagicGraph',img:'/assets/touch.svg', action: () => this.goto('playgraph')},\r\n    ];\r\n    this.$store.commit('navigation/replaceTopics', newTopics);\r\n    let newshowhome = false;\r\n    this.$store.commit('navigation/toggleshowhome', newshowhome);\r\n    let newMath =true;\r\n    this.$store.commit('navigation/replaceMath', newMath);\r\n    let newLeftArrow =true;\r\n    this.$store.commit('navigation/replaceLeftArrow', newLeftArrow);\r\n    let newModule=true;\r\n    this.$store.commit('navigation/replaceModule', newModule);\r\n  },\r\n  mounted () {\r\n    MathJax.Hub.Queue([\"Typeset\", MathJax.Hub]);\r\n    Boxes.box1();\r\n  },\r\n  metaInfo() {\r\n  return{ title: 'Angles',\r\n          titleTemplate: '%s - Learn interactively',\r\n          meta: [ {name: 'viewport', content: 'width=device-width, initial-scale=1'},\r\n                  {name: 'description', content: 'Learn interactively how to draw a free body diagram'}\r\n                ]\r\n        }\r\n   },\r\n}\r\n</script>\r\n<style lang=\"scss\">\r\n@import 'src/styles/edliy-box.scss';\r\n@import 'src/styles/edliy-box.scss';\r\n@import 'src/styles/subtopic-menu.scss';\r\n@import 'src/styles/edliy-box-about.scss';\r\n</style>\r\n","import mod from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"; export default mod; export * from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"","import { render, staticRenderFns } from \"./Lesson.vue?vue&type=template&id=338c27c9&\"\nimport script from \"./Lesson.vue?vue&type=script&lang=js&\"\nexport * from \"./Lesson.vue?vue&type=script&lang=js&\"\nimport style0 from \"./Lesson.vue?vue&type=style&index=0&id=338c27c9&prod&lang=scss&\"\n\n\n/* normalize component */\nimport normalizer from \"!../../../../../node_modules/vue-loader/lib/runtime/componentNormalizer.js\"\nvar component = normalizer(\n  script,\n  render,\n  staticRenderFns,\n  false,\n  null,\n  null,\n  null\n  \n)\n\nexport default component.exports","export * from \"-!../../../../../node_modules/mini-css-extract-plugin/dist/loader.js??ref--8-oneOf-1-0!../../../../../node_modules/css-loader/index.js??ref--8-oneOf-1-1!../../../../../node_modules/vue-loader/lib/loaders/stylePostLoader.js!../../../../../node_modules/postcss-loader/src/index.js??ref--8-oneOf-1-2!../../../../../node_modules/sass-loader/dist/cjs.js??ref--8-oneOf-1-3!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=style&index=0&id=338c27c9&prod&lang=scss&\""],"sourceRoot":""}