A regular polygon has interior angles of 144 degrees. How many sides does the polygon have?
I know that the interior angles of a regular polygon are all equal, so I can use the formula that relates the number of sides and the measure of an interior angle. The formula is: (n - 2) * 180 / n = interior angle, where n is the number of sides. I can plug in the given value of the interior angle and solve for n. 144 = (n - 2) * 180 / n Multiplying both sides by n, I get: 144n = (n - 2) * 180 Expanding the parentheses, I get: 144n = 180n - 360 Subtracting 180n from both sides, I get: -36n = -360 Dividing both sides by -36, I get: n = 10 So the polygon has 10 sides. 