Calculating Exterior Angles in Regular Polygons
22 October 2026
Understanding exterior angles in regular polygons is a key skill for 11+ maths. When your child knows how to spot the number of sides and use a simple rule, these questions become much easier.
Worked example
What is the exterior angle of a regular hexagon?
Step 1: Count the number of sides. A hexagon has 6 sides.
Step 2: The sum of all exterior angles in any polygon is 360°.
Step 3: Divide 360° by the number of sides.
360 ÷ 6 = 60
The correct answer is 60°. Each exterior angle of a regular hexagon is 60°.
Now your child can see how to find the exterior angle in any regular polygon using the same method. This helps them feel confident when similar questions come up in practice or exams.
