Question

2. Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 15 sides​

Answer 1

Answer:

1=40° 2=24°

Step-by-step explanation:

Sum of all exterior angles of given polygon =360

∘

(i) Measure of each ext angle =

9

360

=40

∘

(ii) Measure of each ext angle =

15

360

=24∘

Answer 2

Answer :

• 40° and 24°

Given :

• 9 sides
• 15 sides​

To find :

• the measure of each exterior angle of a regular polygon of 9 sides and 15 sides​.

Solution :

⇒ Let's find each angle.

• [The sum of Exterior angles in a regular polygon is 360°.]

9 sides = Exterior angles/sides

= 360/9

= 40°

∴ = 40°

15 sides = Exterior angles/sides

= 360/15

= 24°

∴ = 24°

• Therefore, each exterior angle of a regular polygon is 40° and 24°.