SOLUTION: The measure of one interior angle of a regular polygon is 144 degrees. Find the number of sides of the polygon

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Question 1115080: The measure of one interior angle of a regular polygon is 144 degrees. Find the number of sides of the polygon
Answer by greenestamps(13200) About Me  (Show Source):
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The measure of each EXTERIOR angle is 180-144 = 36 degrees.

The sum of the exterior angles of any polygon is 360 degrees.

Therefore, the number of angles in the polygon -- and therefore also the number of sides -- is 360/36 = 10.