If the measure of an exterior angle of a regular polygon is 24, how many sides does the polygon have?

Question

(1 point)

A. 24

B.12

C. 15

D. 18

Answer 1

The measure of an exterior angle of a regular polygon can be found by using the formula 360/n, where n is the number of sides of the polygon.

Since we are given that the measure of an exterior angle is 24, we can set up the equation:

360/n = 24

To solve for n, we can multiply both sides of the equation by n:

360 = 24n

Dividing both sides of the equation by 24:

n = 15

Therefore, the polygon has 15 sides.

The correct answer is C. 15.