Question

The interior angle of a regular polygon exceeds its exterior angle by 108°. How many sides does the polygon have? 

A. 16 

B. 14 

C. 12 

D. 10

Answer 1

Let x be the exterior angle 

Interior Angle = x + 108° 

Interior Angle + Exterior Angle = 180° 

X + (x + 108°) = 180° 

2x= 180° - 108° 

2x = 72° = 36° 

So, Exterior Angle = 36° 

No. of Sides = 360 / Exterior Angle 

= 360 / 36 

= 10