How many sides does a regular polygon habe if each of it's interior angles is 165 degrees?
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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. Divide by 15 to get n = 24 sides to the polygon.
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