Question

a) Find the measure of each exterior angle of a regular polygon of 9 sides
b) How many sides does a regular polygon have if the measure of an exterior
angle is 24​

Answer 1

Answer:

(a) 360÷9 = 40

(b) 360÷24=15

Answer 2

Answer:

a) 40 degrees

b) 165 degrees

Explanation:

a) Sum of all exterior angles of polygon = 360 degrees

So, each exterior angle of a regular polygon of 9 sides = 360/9

= 40 degrees

b) Sum of all exterior angles of polygon = 360 degrees

So, each exterior angle of regular polygon of 24 sides = 360/24

= 15 degrees

If each exterior angle of a regular polygon of 24 sides = 15 degrees

Then, each interior angle = 180 - 15 (Linear pair)

= 165 degrees