A regular polygon has interior angles of 162 degrees. How many sides does the polygon have?
I know that the interior angle of a regular polygon is related to the number of sides by the formula: (n-2) * 180 / n, where n is the number of sides. So I can set this equal to 162 and solve for n. (n-2) * 180 / n = 162 Multiplying both sides by n, I get: (n-2) * 180 = 162 * n Expanding the parentheses, I get: 180n - 360 = 162n Subtracting 180n from both sides, I get: -360 = -18n Dividing both sides by -18, I get: n = 20 So the polygon has 20 sides.

