In a regular polygon each interior angle double... - JAMB Mathematics 2000 Question
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
correct option: b
2x + x = 180°, => 3x = 180°, and thus x = 60°
Each exterior angle = 60° but size of ext. angle = 360°/n
Therefore 60° = 360°/n
n = 360°/60° = 6 sides
Each exterior angle = 60° but size of ext. angle = 360°/n
Therefore 60° = 360°/n
n = 360°/60° = 6 sides
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