The interior angle of a regular polygon is twice the exterior angle. How many sides has the polygon?
A
5
B
6
C
8
D
9
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Let the exterior angle = d
Note: Exterior angle + Interior angle = 180^\circ
\(\implies\) d + 2d = 180^\circ
3d = 180^\circ \(\implies\) d = 60^\circ
Recall, exterior angle = \(\frac{360}{\text{no of sides}}\)
\(\therefore \text{No of sides} = \frac{360}{60}\)
= 6 sides
Source: Myschool Past Questions Archive (Record #26387)