Question

Take a regular hexagon Fig 3.10.
1. What is the sum of the measures of its exterior angles x, y, z,p,q,r?
2. Is x=y=z=p=q=r? Why?
3. What is the measure of each?
(a) exterior angle
(b) interior angle
Repeat this activity for the cases of
(1)a regular octagon
(2)a regular 20-gon​

Answer 1

Answer:

1.sum of its exterior angles=360

3.exterior angle of hexagon=60

Exterior angle of octagon=45

Exterior angle of a polygon having 20 sides=30

4.interior angle of hexagon =120

Interior angle of octagon=135

Interior angle of a polygon having 20 sides=150

Answer 2

Answer:

1) Sum of the measures of its exterior angles is 360 degrees

2) Yes x=y=z=p=q=r because they are all equivalent

3) a) 60 degrees

b) 120 degrees