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108 lines
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<title>Exterior Angles of Polygons</title>
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<h1 align="center">Exterior Angles of Polygons</h1>
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<h3 align="center">The Exterior Angle is the angle between any side of a shape, <br />
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and a line extended from the next side.</h3>
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<p align="center"><img src="images/interior-exterior-angles.svg" alt="interior exterior angles" /></p>
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<p>Another example: </p>
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<p align="center"><img src="images/interior-exterior-angles2.svg" alt="interior exterior angles" /></p>
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<p>When we add up the Interior Angle and Exterior Angle we get a straight line <span class="large">180°</span>. They are <a href="supplementary-angles.html">"Supplementary Angles"</a>.</p>
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<h2>Polygons</h2>
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<p>A Polygon is any flat shape with straight sides</p>
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<p class="center larger">The Exterior Angles of a Polygon add up to 360°</p>
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<div style="float:left; margin: 0 10px 5px 0;"><script type="text/javascript">exterioranglesMain();</script></div>
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<p> </p>
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<p>In other words the exterior angles add up to <b>one full revolution</b>.</p>
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<p>Press Play button to see.</p>
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<p><i>(Exercise: try this with a square, then with some interesting polygon you invent yourself.)</i></p>
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<p class="tiny">
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Note: This rule only works for <a href="polygons.html">simple polygons</a>.</p>
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<tr>
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<td>Here is another way to think about it: <br />
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Each lines changes direction until we eventually get back to the start:</td>
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<td><img src="images/exterior-angles-polygon.svg" alt="exterior angles polygon" /></td>
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</tr>
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<div class="related"> <a href="polygons.html">Polygons</a> <a href="degrees.html">Degrees (Angle)</a> <a href="../angle360.html">Angles Around a Point</a> <a href="interior-angles-polygons.html">Interior Angles of Polygons</a> <a href="interior-angles.html">Interior Angles</a> <a href="exterior-angles.html">Exterior Angles</a> <a href="../shape.html">2D Shapes</a> <a href="index.html">Geometry Index</a> </div>
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