The interior angle of a regular polygon is twic... - WAEC Mathematics 1999 Question
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
correct option: b
Let the exterior angle = d
Note: Exterior angle + Interior angle = 180°
\(\implies\) d + 2d = 180°
3d = 180° \(\implies\) d = 60°
Recall, exterior angle = \(\frac{360}{\text{no of sides}}\)
\(\therefore \text{No of sides} = \frac{360}{60}\)
= 6 sides
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