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?
(1) exterior angle (2) interior angle
4. Repeat this activity for the cases of
(i) a regular octagon (i) a regular 20-gon
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?
(1) exterior angle (2) interior angle
4. Repeat this activity for the cases of
(i) a regular octagon (i) a regular 20-gon
Answers & Comments
Answer:
the sum of all its exterior angles will be equal to 360\degree.
x,y,z,p,q,r are all exterior angles.
Hence,x+y+z+p+q+r=360\degree