An interior angle of a regular polygon is 5 times each exterior angle. How many…

An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?

Correct Answer: Option B

Explanation

Let the interior angle = x^o
interior angle = 5x^o (sum of int. angle ann exterior)
(angles = angle or straight line)
6x = 180
x = (frac{180}{6})
x = 30^o
no. of sides = (frac{text{sum of exterior angles}}{text{exterior angle}})
= (frac{360}{30}) = 12