How many sides does a regular (equal sides and equal angles) polygon have if each exterior angle measures 24°? # of sides = ?

If the measure of each exterior angle is 24, the measure of each interior angle is then 180-24=156

the sum of the interior angles of a polygon is (n-2) * 180, n is the number of sides

(n-2) * 180=156*n

180n-360=156n

24n=360

n=15

the polygon has 15 sides