Question

In a regular polygon, each interior angle is thrice the exterior angle. The number of sides of the polygon is 

A. 6 

B. 8 

C. 10 

D. 12

Answer 1

Let x be the exterior angle 

Interior Angle = 3x 

Interior Angle + Exterior Angle = 180° 

4x = 180° 

X = 180/4 

= 45° 

So, Exterior Angle = 45° 

No. of Sides = 360 / Exterior Angle 

= 360 / 45 

= 8