Mathematics

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 = 180o
4x = 180o; x = 45
= (frac{360}{45}) = 8