Question

In a regular polygon each interior angle is 120 degree grater than each exterior angle. Calculate the number of side of the polygon.

Answer 1

Let exterior angle is x.
Interior angle will be 120+x

interior angle + exterior angle = 180
so x+120+x =180
2x+120 = 180
2x =180-120
2x = 60
x=30 degree.

Exterior angle =30.

Let there are n sides so
n*x = 360
n* 30= 360
n= 360/30
n= 12

so there are 12 sides of polygon.