Question

The ratio of interior angle to the exterior angle of a polygon is 5:1 then find the no. of sides

Answer 1

Let
5a=
interior angle
a=
exterior angle
5a+a=180
6a=180
a=30
For a regular polygon of n sides , each exterior angle has a measure of
360/n
Since the exterior angle of each angle has a measure of 30° ,
then the number of sides n
n= 360/6 => 12 sides