Question

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

Quadrilateral
Octagon
Triangle
Hexagon

Answer 1

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

Therefore this is an Octagon.

Answer 2

Option B octagon

Explanation:

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

Exterior angle =
`(360)/(n)`

Where n = number of sides

Now for 45° exterior angle

45° =
`(360)/(n)`

n =
`(360)/(45)` = 8

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

Option B octagon is the answer.