Question

The ratio of each exterior angle to each interior angle of a regular polygon is 2:3.Find the no of sides of the polygon

Answer 1

How?

Well the ratio of exterior to interior angle is 2:3 that is the angles are 72 and 108 degrees. Since the sum of the all exterior angles of any figure is 360 and if each angle is 72 degrees, then the figure must have 360/72 or 5 sides.