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What is the sum of the interior angles of a 37-gon

1 Answer

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The exterior angles must add to 360 degrees, and each has measure
(360)/(37) degrees. Exterior and interior angles are supplementary, which means each interior angle is
180-(360)/(37)=(6300)/(37) degrees. With 37 angles, the sum of the interior angles is
37*(6300)/(37)=6300 degrees.