Question

Each exterior angle of a regular polygon is 120° less than each of its interior angle. How many sides does the polygon have?

Answer 1

12 sides

Explanation:

let interior angle = x

x+(x-120) =180

x+x-120=180

2x-120=180

2x=180+120

x=300/2

x=150

exterior angle=150-120

=30

no. of side =s

no. of side= 30*s=360

=s=360/3

=12