| What You Want | Formula | Notes |
|---|---|---|
| Sum of interior angles | (n − 2) × 180° | n = number of sides |
| One interior angle (regular) | (n − 2) × 180° ÷ n | All angles equal in regular polygon |
| Sum of exterior angles | Always 360° | Works for ANY polygon! |
| One exterior angle (regular) | 360° ÷ n | Quickest method for regular polygons |
| Interior + Exterior | = 180° | They're on a straight line |
This key facts covers Essential Formulas within Angles in Polygons for GCSE Mathematics. Revise Angles in Polygons in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 3 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 2 of 10 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Practice questions for Angles in Polygons
What is the sum of the interior angles of a hexagon?
Explain how the formula (n − 2) × 180° for the sum of interior angles of a polygon is derived.
Quick recall flashcards
Exterior Angle Sum
Always 360° for any polygon
Interior Angle Sum
Sum = (n - 2) × 180° for n-sided polygon