Question

how many diagonals does a regular polygon have if the measure of an exterior angle is 24 ?
a)44
b)15​

Answer 1

Answer:

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. vertices and 11 sides. If there are 11 sides there are diagonals total.