Question

Which of the following best describes a regular polygon when the measure of each exterior angle is 45?

Answer 1

Answer:

Option B octagon

Step-by-step explanation:

Since exterior angles of a polygon is best describes by the number of sides of the polygon as

Exterior angle = $\frac{360}{n}$

Where  n  =  number of sides

Now for 45° exterior angle

45° =  $\frac{360}{n}$

n =   $\frac{360}{45}$ = 8

Therefore for exterior angles 45° number of sides of the polygon will be 8.

Option B octagon is the answer.

Answer 2

The number of sides in a regular polygon  = 360 / m of an exterior angle = 360 / 45 = 8

Therefore this is an Octagon.