Question

The measure of each exterior angle of a regular polygon is 72 degrees. how many sides does the polygon have?

Answer 1

If the measure of each exterior angle is 72, the measure of each interior angle is then 180-72=108
the sum of the interior angles of a polygon is (n-2)*180, n is the number of sides
(n-2)*180=108*n
180n-360=108n
180n-108n=360
n=5
the polygon has 5 sides.