Question

find the measure of each exterior angle of a regular polygon of 9 sides​

Answer 1

Sum of exterior angles of a polygon is always 360°

Find one exterior angle of a 9-sided polygon:

9 exterior angles = 360°

1 exterior angle = 360 ÷ 9 = 40°

Find one exterior angle of a 12-sided polygon:

12 exterior angles = 360°

1 exterior angle = 360 ÷ 12 = 30°

Answer: One exterior angle of a regular 9-sided polygon is 40°. One exterior angle of a regular 12-sided polygon is 30°.

Answer 2

Answer:

40° ans.

Step-by-step explanation:

We know,

Sum of all exterior angles of a polygon = 360°

So, measure of each exterior angle of a regular polygon = 360°/ Number of sides of the polygon.

Here, measure of each exterior angle of a regular polygon of 9 sides = 360°/9 = 40° (ANS)