Regular polygon angle facts: step-by-step example
27 October 2026
Understanding the angles inside regular polygons is a key skill for 11+ maths. When a shape has all sides and angles the same, there's a simple way to work out each angle. This example shows the method clearly, so your child can see each step.
Example question
Find the size of each interior angle in a regular hexagon (6 sides).
Step 1: Use the formula for the sum of interior angles: (n - 2) × 180°.
6 - 2 = 4.
4 × 180° = 720°.
Step 2: Divide by the number of sides to find one angle.
720° ÷ 6 = 120°.
The answer is 120°. Each interior angle in a regular hexagon is 120 degrees.
After seeing this example, your child will know how to find an interior angle in any regular polygon. They can now spot the pattern and feel ready to practise similar questions. More practice problems like this are available to help build confidence.
