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

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