Question

If an interior angle of a regular polygon is 162°,then find the number of its sides

Answer 1

if interior angle=162,
exterior angle=180-162=18
sum of exterior angle in a polygon=360

no. of sides=360/exterior angle
=360/18
=20 sides.

Answer 2

If interior angle = 162°, then
exterior angle = 180°-162°
=18°
no. of sides of a regular polynomial = 360/exterior angle
=360/18
=20 sides