Q. 143.7( 18 Votes )

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 :

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

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