# How to Find the Exterior Angle of a Regular Polygon

## Finding the Exterior Angle of a Regular Polygon

Each exterior angle of a regular polygon is given by the formula:

In this formula, **n** is the number of sides of the regular polygon.

## How to Find the Exterior Angle of a Regular Polygon

Finding the exterior angle of a regular polygon is easy.

### Question

What is the exterior angle of a regular octagon?

### Step-by-Step:

# 1

Start with the formula:

Exterior angle = 360° ⁄ n

**Don't forget:** / means ÷.

# 2

Substitute the number of sides into the formula.

An octagon has 8 sides. In our example, n = 8.

Exterior angle = 360° ÷ 8

Exterior angle = 45°

### Answer:

The exterior angle of a regular octagon is 45°.