In a regular polygon each interior angle double... - JAMB Mathematics 2017 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 = 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
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
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