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<!DOCTYPE html>
<html data-require="math graphie graphie-helpers angles">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>Vertical angles</title>
<script src="../khan-exercise.js"></script>
</head>
<body>
<div class="exercise">
<div class="vars">
<var id="ANCHOR">randRange( 20, 160 )</var>
<var id="KNOWN_INDEX, UNKNOWN_INDEX">shuffle( randFromArray( [ [ 2, 4 ], [ 3, 5 ] ] ) )</var>
<var id="MEASURE">KNOWN_INDEX % 2 === 0 ? ANCHOR : 180 - ANCHOR</var>
</div>
<div class="problems">
<div>
<p class="question">If we know that the <span class="hint_blue">blue angle is <var>MEASURE</var> degrees</span>, what is the <span class="hint_orange">measure of the orange angle</span>?</p>
<p class="solution" data-forms="integer"><var>MEASURE</var></p>
<div class="graphie" id="lines">
init({
range: [ [ -1, 5 ], [-1, 1] ]
});
graph.pl = new ParallelLines( 0, 0, 4, 0, 0 );
graph.pl.draw();
graph.pl.drawTransverse( ANCHOR );
graph.pl.drawAngle( KNOWN_INDEX, true );
graph.pl.drawAngle( UNKNOWN_INDEX, false, "#FFA500" );
</div>
</div>
</div>
<div class="hints">
<div>
<p>What is the measure of the pink angle?</p>
<div class="graphie" data-update="lines">
graph.pl.drawAngle( KNOWN_INDEX + 1, false, "#FF00AF" );
</div>
</div>
<div>
<p>The pink and blue angles add up to 180 because they are adjacent and form a straight line.</p>
<p><code>\color{#FF00AF}{\text{pink angle}}= 180^{\circ} - \color{#6495ED}{<var>MEASURE</var>^{\circ}} = \color{#FF00AF}{<var>180 - MEASURE</var>^{\circ}}</code></p>
<div class="graphie" data-update="lines">
graph.pl.drawAngle( KNOWN_INDEX + 1, true, "#FF00AF" );
</div>
</div>
<div>
<p>The pink and orange angles also add up to 180 because they are adjacent and form a straight line too.</p>
<p><code>\color{#FFAF00}{\text{orange angle}}= 180^{\circ} - \color{#FF00AF}{<var>180 - MEASURE</var>^{\circ}} = \color{#FFAF00}{<var>MEASURE</var>^{\circ}}</code></p>
<div class="graphie" data-update="lines">
graph.pl.drawAngle( UNKNOWN_INDEX, true, "#FFA500" );
</div>
</div>
</div>
</div>
</body>
</html>
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