Question

Question 29
The number of sides of a regular polygon in which each exterior angle has a measure of ${45}^{\circ }$ is
a) 8
b) 10
c) 4
d) 6

Answer 1

We know that the sum of all exterior angles of a polygon is ${360}^{\circ }$.
Since each exterior angle measures ${45}^{\circ }$, the number of sides
$=\frac{Sumofallexteriorangles}{Measureofanexteriorangle}=\frac{{360}^{\circ }}{{45}^{\circ }}=8$