Question

How many sides does a regular polygon have intier angel 165?

Answer 1

24 sides

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.