Question

7. Find the number of sides of a regular polygon if the ratio of each interior and exterior angle is
(a) 3:1
(b) 3:2
(c) 7:2
(d) 4:1.​

Answer 1

Answer:

7:2

Step-by-step explanation:

Interior angle of a polygon of n-sides =

n

(n−2)π

Exterior angle of a polygon of n-sides =

n

2π

Taking there ratio, and equating it to

2

7

Thus

2

n−2

=

2

7

⇒n=9