In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon.
A
8
B
6
C
4
D
3
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
2x + x = 180^\circ, => 3x = 180^\circ, and thus x = 60^\circ
Each exterior angle = 60^\circ but size of ext. angle = 360^\circ/n
Therefore 60^\circ = 360^\circ/n
n = 360^\circ/60^\circ = 6 sides
Source: Myschool Past Questions Archive (Record #794)