SOLUTION: If the sum of the measures of the interior angles of a polygon equals the sum of the measures of the exterior angles, how many sides does the polygon have?

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Question 709838: If the sum of the measures of the interior angles of a polygon equals the sum of the measures of the exterior angles, how many sides does the polygon have?
Answer by KMST(5397) About Me  (Show Source):
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The sum of the measures of the interior angles of a polygon with n sides is
%28n-2%29180%5Eo
The sum of the exterior angles of any polygon is 360%5Eo.
%28n-2%29180%5Eo=360%5Eo --> n-2=360%5Eo%2F180%5Eo --> n-2=2 --> highlight%28n=2%29