Question

The number of sides of a regular polygon where each exterior angle has measure 45⁰. Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 10 sides

Answer 1

Answer:8 sides

i) 40°

ii) 36°

Step-by-step explanation:

Number of sides=360°÷measure of each exterior angle

Therefore,number of sides=360/45

=8 sides

i) measure of each exterior angle=

360°/number of sides

=360/9

=40°

ii) similarly

360/10

=36°

Answer 2

Answer:

(i) 40° ans.(polygon having 9 sides)

(ii) 36° (polygon having 10 sides)

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)

And also incase of 10 sides :-

360/10 = 36° ans.