alexandravillagran alexandravillagran

12-12-2019
Mathematics

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How is the formula for finding the sum of interior angle measures of polygons dervived

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MathPhys MathPhys

12-12-2019

Step-by-step explanation:

Draw lines from one vertex to the other vertices, splitting the polygon into triangles. If the polygon has n sides, there will be n−2 triangles. Each triangle's angles add up to 180°. So the sum of all the interior angles is:

S = (n−2) 180°

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