Question

How many sides does a regular polygon have whose interior and exterior angles are in ratio 2:1?

Answer 1

sum of interior and exterior angle should be 180°

let us say interior angle = 2x and exterior angle = x

2x+x=180
x = 60°
int angle = 120°

ext angle = 60°

ext angle of a polygon = 360°/n

60 = 360/n

n = 6

polygon has 6 side. so hexagon

Answer 2

Sum of external and internal angle is 180.
Let int.angle is 2x
and ext. is x.
2x+x=180
X=60
Int angle=120
Ext=60...