SOLUTION: What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 72°?

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Question 626214: What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 72°?
Answer by Emsley(35) About Me  (Show Source):
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For any polygon sum of exterior angles =360 So this polygon has 360/72=5 vertices
Each interior angle =180-72=108 So sum of interior angles=5 times 108 =540