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118 lines
4.6 KiB
HTML
118 lines
4.6 KiB
HTML
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Vertical Angles</h1>
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<p class="center"><span class="larger"><b>Vertical Angles</b> are the angles opposite each other when two lines cross</span></p>
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<div class="words">"Vertical" in this case means they <b>share the same Vertex</b> (corner point), not the usual meaning of up-down. </div>
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<p> </p>
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<div class="example">
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<p style="float:right; margin: 0 0 5px 10px;"><img src="images/vertically-opposite.svg" alt="vertically opposite a and b" height="150" width="199"></p>
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<h3>Example: a° and b° are vertical angles.</h3>
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<p>The interesting thing here is that <b>vertical angles are equal</b>:</p>
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<p class="larger center">a° = b°</p>
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<p>(in fact they are <a href="congruent-angles.html">congruent angles</a>)</p>
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</div>
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<p>Have a play with them yourself. Notice how the 4 angles are actually <b>two pairs</b> of "vertical angles":</p>
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<div class="script" style="height: 360px;">
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images/geom-vert-angles.js
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</div>
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<p> </p>
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<div class="example">
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<h3>Example: Find angles a°, b° and c° below:</h3>
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<p class="center"><img src="images/vertically-opposite2.svg" alt="vertically opposite b and 40" height="116" width="196"></p>
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<p>Because b° is vertically opposite 40°, it must also be 40°</p>
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<p>A full circle is 360°, so that leaves 360° − 2×40° = 280°</p>
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<p>Angles a° and c° are also vertical angles, so must be equal, which means they are 140° each.</p>
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<p>Answer: <b>a = 140°</b>,<b> b = 40° and c = 140°</b>.</p>
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</div>
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<div class="words"> Note: They are also called <a href="vertically-opposite-angles.html">Vertically Opposite Angles</a>, which is just a more exact way of saying the same thing.</div>
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<p> </p>
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<div class="questions">2121, 2122</div>
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<div class="related">
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<a href="congruent-angles.html">Congruent Angles</a>
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<a href="parallel-lines.html">Parallel Lines and Pairs of Angles</a>
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<a href="corresponding-angles.html">Corresponding Angles</a>
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<a href="alternate-interior-angles.html">Alternate Interior Angles</a>
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<a href="alternate-exterior-angles.html">Alternate Exterior Angles</a>
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<a href="consecutive-interior-angles.html">Consecutive Interior Angles</a>
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<a href="degrees.html">Degrees (Angle)</a>
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<a href="index.html">Geometry Index</a>
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