# The Measure of Each Exterior Angle of a Regular Pentagon

## Question: The measure of each exterior angle of a regular pentagon is?

A regular pentagon is a polygon with 5 sides of equal measures.

## Answer: The measure of each exterior angle of a regular pentagon is 72°

A regular pentagon has all angles of the same measure and all sides of the same length.

## Explanation:

The sum of the exterior angles of all polygons are equal to 360°

To find the measure of exterior angle of the pentagon

Exterior Angle = 360°/n

Where, n = number of sides

Exterior Angle of a regular pentagon = 360°/5 = 72°

### Thus,the measure of each exterior angle of a regular pentagon is 72°.

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