Question

7. Find the number of sides of the polygon if the ratio of each interior and exterior angles is 3:1​

Answer 1

Step-by-step explanation:

Let the number of sides be n. Then,

Each interior angle = (n-2)π

n

Each exterior angle = 2π

n

BTP

(n-2)π/n = 3

2π/n. 1

(n-2) = 3

2

n-2= 6

n= 8

Hence, the number of sides is 8.