Question

4. Find the number of sides of a regular polygon when each of its interior angle measures
(i) 160°
(ii) 135°
(iii) 150°
(iv) 175°
5. What is the maximum possible exterior angle of a regular polygon? Name the polygon.
rior anolo is 17°? Why or why not?​

Answer 1

Answer:

hope you will understand

Answer 2

Solution:

To find the number of sides of a regular polygon when each of its angles has a measure of the following:

A. 160
B. 135
C. 150
D. 175

The formula to calculate number of sides for regular polygon

n • ( 180 - Angle ) = 360

where n = number of sides angle
= angle of polygon

A. Angle = 160

n • ( 180 - 160 ) = 360

n • 20 = 360

n = 18

There are 18 sides.

B. Angle = 135

n • 45 = 360

n = 8

There are 8 sides.

C. Angle = 150

n • 30 = 360

n = 12

There are 12 sides.

D. Angle = 175

n • 5 = 360

n = 72

There are 72 sides.

Hope this would help.