Question

How many sides does a regular polygon have;if the measure of of an exterior angle is 24degrees

Answer 1

$\frac{360}{n } = 24$
$\frac{360}{24} = n$
n=15
please add me in brain list

Answer 2

We know that the exterior angles of a regular polygon measure the same. We know that the sum of all exterior angles of a polygon is of 360 degrees. Let the number of exterior angles be n. Since the number of exterior angles is equal to the number of sides, then the regular polygon has 15 sides.(Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.)