the measure of each interior angle of a regular polygon is 165 degree find the number of side of a polygon
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You know that each of the interior angles is 165 degrees so that gives you half of your equation, 165 times n, or 165n. Second, set your interior angles equal to the interior angle formula (n-2)180 = 165n. Last, solve for n. Divide by 15 to get n = 24 sides to the polygon.
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