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In a given regular polygon, the ratio of the exterior angle to the interior angles…

In a given regular polygon, the ratio of the exterior angle to the interior angles is 1:3. How many side has the polygon?

A.
40
B.
5
C.
6
D.
8
E.
12

Correct Answer: Option D

Explanation

Let x be the exterior angle; interior = 3x; but x + 3x = 180^o
4x = 180^o; x = 45
= (frac{360}{45}) = 8