Question

In a regular polygon the ratio between each exterior angle each and each interior angle is 1 : 10 . calculate the number of sides of such a polygon

Answer 1

let the ratio be x
x:10x
exterior angle + interior angle =180°
x+10x=180°
11x=180°
x=(180/11)°

no. of sides=360°/each exterior angle
=360×11/180=22°