Question

how many sides does a regular polygon have if each of its interior angle is 165 degrees

Answer 1

as formula for each interior angle of a polygon is : ( 2n-4)*90/n [ where n is no. of sides]

165° =( 2 n -4)*90/n

165 n = 180 n -360

360=180 n-165 n

360=15 n

n=24