Question

find the number of side of a regular polygon whose each exterior angle has a measure of 45°?​

Answer 1

Answer:

Step-by-step explanation:

Let n be the number of sides of the polygon.

The sum of the exterior angles of a regular polygon  = 360°

45° × n = 360°  [Since the measure of each exterior angle is  45° ]

n = $\frac{360}{45}$  

n = 8  

Therefore, the number of sides of a regular polygon whose each exterior angle has a measure of  45°  is 8.