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136 lines
5.1 KiB
HTML
136 lines
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HTML
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<h1 class="center">Supplementary Angles</h1>
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<div class="center"><span class="larger">Two Angles are Supplementary when they <b>add up to 180 degrees</b>.</span></div>
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<p> </p>
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<p style="float:right; margin: 0 0 5px 10px;"><img src="images/supplementary-angles.svg" alt="supplementary angles 40 and 140" height="112" width="270"></p>
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<p>These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°:</p>
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<p>Notice that together they make a <a href="straight-angle.html">straight angle</a>.</p>
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<div style="clear:both"></div>
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<p style="float:left; margin: 0 10px 5px 0;"> </p>
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<span style="float:left; margin: 0 10px 5px 0;"><img src="images/supplementary-angles2.svg" alt="supplementary angles 60 and 120" height="141" width="281"></span>
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<p>But the angles don't have to be together.</p>
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<p>These two are supplementary because<br>
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60° + 120° = 180°</p>
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<h2>Play With It ...</h2>
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<p>(Drag the points)</p>
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<div class="script" style="height: 310px;">
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images/geom-comp-supp.js?mode=supp
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</div>
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<p> </p>
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<p class="words">When the two angles add to 180°, we say they <b>"Supplement"</b> each other. <b><br><br>
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Supplement</b> comes from Latin <i>supplere</i>, to complete or "supply" what is needed</p>
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<p class="info"><i>Spelling:</i> be careful, it is <i><b>not</b></i> <i>"Suppl<b>i</b>mentary Angle"</i></p>
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<h2>Complementary vs Supplementary</h2>
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<p>A related idea is <a href="complementary-angles.html">Complementary Angles</a>, they add up to 90°</p>
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<div class="center80">
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<p>How to remember which is which? Well, <b>alphabetically</b> they are:</p>
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<ul>
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<li>Complementary add to 90°</li>
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<li>Supplementary add to 180°</li>
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</ul>
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<p>You can also think:</p>
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<ul>
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<li>"<b>C</b>" of <b>C</b>omplementary is for "<b>C</b>orner" <img src="images/symbol-right-angle.gif" alt="right angle" height="28" width="28">(a Right Angle), and</li>
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<li>"<b>S</b>" of <b>S</b>upplementary is for "<b>S</b>traight" (180° is a straight line)</li>
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</ul>
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<p>Or you can think:</p>
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<ul>
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<li>when you are <b>right</b> you get a <b>compliment</b> (sounds like compl<b>e</b>ment)</li>
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<li>"supplement" (like a vitamin supplement) is something extra, so is bigger</li>
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</ul>
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</div>
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<p> </p>
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<div class="questions">817, 1804, 5232, 5234, 818, 3303, 1805, 3304, 5235, 5236</div>
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<div class="related">
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<a href="complementary-angles.html">Complementary Angles</a>
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<a href="../angle180.html">Angles On a Straight Line</a>
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<a href="../angle360.html">Angles Around a Point</a>
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<a href="degrees.html">Degrees (Angle)</a>
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<a href="parallel-lines.html">Parallel Lines and Pairs of Angles</a>
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<a href="index.html">Geometry Index</a>
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