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