Question

3) Calculate the size of each exterior angle in:

(a) a regular 9-sided polygon (b) a regular 40-sided polygon

Answer 1

40° and 9°

Explanation:

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

If the polygon is regular then the measure of each exterior angle is

`(360)/(n)` ← where n is the number of sides

(a) for a regular 9 sided polygon

exterior angle =
`(360)/(9)` = 40°

(b) for a regular 40 sided polygon

exterior angle =
`(360)/(40)` = 9°