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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?
