SOLUTION: The measure of an exterior angle of a regular polygon is 72 degrees. Find the measure of an interior angle, and find the number of sides.

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Question 803871: The measure of an exterior angle of a regular polygon is 72 degrees. Find the measure of an interior angle, and find the number of sides.
Answer by solver91311(24713) About Me  (Show Source):
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The sum of the exterior angles of any -gon is 360 degrees, so the number of sides of a regular -gon is the quotient of 360 and the measure of one exterior angle.

The sum of the measures of the interior angles of an -gon is given by . The measure of an interior angle of a regular -gon is the sum of the measures of the interior angles divided by

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