Question

Find the number of sides of a regular polygon if each exterior angle measures: ${45}^o$

Answer 1

We know that the measure of exterior angle is $x={\left(\frac{360}{n}\right)}^0$ where $n$ is the number of sides.

Here, it is given that the exterior angle is $x={45}^0$, therefore,

$n=\frac{360}{x}=\frac{360}{45}=8$

Hence, the number of sides is $8$.