Regular polygons have exterior angles that are all equal to each other.

Moreover, they always add up to 360º.

To work out the size of each exterior angle of a regular polygon, we simply divide 360º by the number of angles.

The number of angles is equal to the number of sides.

Example

Work out the exterior angle of a regular hexagon.

Answer

The hexagon has 6 exterior angles as shown below.

They add up to 360º.

Each exterior angle is 360º ÷ 6 = 60º

It's simple really! We can even work out the angles of any regular polygon without needing to have an image!

What size will each exterior angle of a decagon (10 sides) be? 

360 ÷ 10 = 36º

Shall we have a go at the questions now?