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 = 180o
3x = 180o
x = 60o (exterior angle of the polygon)
angle = \(\frac{\text{total angle}}{\text{number of sides}}\)
60 = \(\frac{360}{n}\)
n = \(\frac{360}{60}\)
n = 6 sides
Source: Myschool Past Questions Archive (Record #46339)