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What is the measure of each angle of a regular pentagon?

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1 Answer

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Answer:

108 deg

Explanation:

The sum of the measures of the interior angles of a polygon with n sides is

(n - 2)180.

The measure of each angle of a regular polygon with n sides in

[(n - 2)180]/n.

In this case, n is 5 for a pentagon.

[(n - 2)180]/n = [(5 - 2)180]/5 = [(3)180]/5 = 540/5 = 108

Answer: 108 deg

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