If an exterior angle of a regular polygon measures 24°, how many sides does the polygon have?

Solution:

Measure of an exterior angle of a regular polygon = 360/n

Where n is the number of sides of the polygon

Exterior angle of a regular polygon = 24°

Substituting the values

24 = 360/n

By further calculation

n = 360/24

n = 15

Therefore, the polygon has 15 sides.

If an exterior angle of a regular polygon measures 24°, how many sides does the polygon have?

Summary:

If an exterior angle of a regular polygon measures 24°, the polygon has 15 sides.