The measure of each interior angle of a regular polygon is 108. How many sides does it have.

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So, the formula states that for a regular polygon with sides, each angle will measure 180(n - 2)/n degrees.Thus:  108 = 180(n - 2)/n108 n = 180(n - 2) = 180n - 360-72n = -360n = (-360)/(-72) = 5