Question on: JAMB Mathematics - 2017

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
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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

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