Question

find the number of sides in regular polygon whose each exterior angle is 72°

Answer 1

Given:

The exterior angle of a regular polygon is 72°.

To Find:

The number of sides of the polygon is?

Solution:

1. Consider a regular polygon consisting of n sides.

2. The measure of each exterior angle of a regular polygon is given by the formula (360°)/n.

3. From the given data the value of n is 72°.

=> Total number of sides of the polygon = 360/n,

=> Total number of sides of the polygon = 360/72,

=> Total number of sides of the polygon = 5.

Therefore, the polygon has 5 sides. It is a pentagon.