Question

Find the measure of each exterior angle of a regular polygon of 9 sides

Answer 1

Answer:

sum of exterior angle of any shape =360

let one side of polygon be x

9x=360

x=360\9

=40

therefore each exterior angle =40

Answer 2

Sum of interior angles of a polygon with n number of sides = (n-2)*180

So sum of interior angles of this polygon with 9 sides = (9-2)*180 = 7*180 = 1260°

It is a regular polygon, so each interior angle will be equal.

Since the number of sides = 9, the number of interior angles = 9

Measure of each interior angle = 1260/9 = 140°

Interior angle and exterior angle will be supplementary.

Their sum will be 180°

So exterior angle = 180 - 140 = 40°