How many sides does a regular polygon have if each exterior angle measures 72°

Answer 1

If each exterior angle measures 72°, then we can use the formula for the sum of exterior angles in a regular polygon, which is 360°.

Let's assume that there are n sides in the regular polygon.

The formula for the sum of exterior angles is given by:

Sum of exterior angles = 360°

Since each exterior angle measures 72°,

72° * n = 360°

Dividing both sides of the equation by 72° gives:

n = 360° / 72°

n = 5

Hence, there are 5 sides in the regular polygon.