Question

The exterior and interior angles of 'n' sides polygon are in the ratio 1:2 , find number of sides.

Answer 1

x+2x=180
so
x=60

exterior angle=60
n×60=360
n=6
so it has 6 sides

Answer 2

let each exterior angke be x and interior angle be 2x
sum of exterior angle =360
no. of sides =360/x
sum of interior angle =(2n-4)×90
no. of sides = (2n -4)×90/2x
360/x=(180n-360)/2x
360×2=180n- 360
720+360=180n
1080/180=n
so n=6 sides