Question

Question 3
How many sides does a regular polygon have, if the measure of an exterior angle is ${24}^{\circ }$?

Answer 1

Let the number of sides of the polygon be n.
Sum of exterior angles of a regular polygon $={360}^{\circ }$
Hence, the number of sides
$=\frac{Sumofexteriorangles}{Eachinteriorangle}=\frac{{360}^{\circ }}{24}=15$
Hence, the regular polygon has 15 sides.