Question

1.)Find the measure of each exterior angle of a:
a. Pentagon
b. Decagon
c. Polygon of 12 sides
2.) If the Measure of each exterior angle of a regular polygon is 36°, Find the number of sides of the polygon.

Answer 1

hey,

1.
a.pentagon=5sides
ext angles=360/side
=360/5
=72°

b.decagon=10sides
ext angles=360/10(360/side)
=36°

c.sides=12
ext angles=360/12(360/side)
=30°

Answer 2

Find the measure of each exterior angle.

1. Pentagon :-

Having 5 sides

exterior angles = 360 / Side

= 360 / 5

= 72°.

2. Decagon :-

Having 10 sides

exterior angles = 360 / Side

360 / 10

= 36°.

3. Polygon of 12 sides :-

Having 12 sides

exterior angles = 360 / Side

360 / 12

= 30°.