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Find the number of sides of a regular polygon w... - JAMB Mathematics 2001 Question

Find the number of sides of a regular polygon whose interior angle is twice the exterior angle.
A
6
B
2
C
3
D
8
correct option: a

Let the ext. angle = x

Thus int. angle = 2x

But sum of int + ext = 180 (angle of a straight line).

2x + x = 180

3x = 180

x = 180/3 = 60

Each ext angle = 360/n

=> 60 = 360/n

n = 360/60 = 6

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