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# What is the sum of the measures of the interior angles of a regular polygon if each exerior angle measures 72 degrees?

Updated: 4/28/2022 Wiki User

12y ago

There are 5 interior angles and each one measures 108 degrees (180-72).

Since the sum of exterior angles of any polygon is 360⁰, then that polygon would have 5 angles (360/72). So the sum of interior angle measures is 540⁰. Wiki User

12y ago   Earn +20 pts
Q: What is the sum of the measures of the interior angles of a regular polygon if each exerior angle measures 72 degrees?
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