Question

Find the measure of each
exterior angle of regular polygonof a 9sides.
​

Answer 1

40

Explanation:

Any regular polygon has exterior angles = to 360 / number of sides.

so a 9-gon has 9 sides. The exterior angle = 360 / 9 = 40

Each exterior angle will be 40 degrees.

Try it with simpler n-gons. A triangle has 3 sides. The exterior angle is 360 / 3 = 120

A square has 4 sides. Each exterior angle is 360 / 4 = 90