Angles in polygons · Year 7

In Year 7 you learn: interior angles of polygons.

A polygon’s interior angles always add up to the same total for a given number of sides, and its exterior angles always add up to 360°. For regular polygons this lets you find every angle, or the number of sides from one angle.

Key facts

  • Sum of interior angles = (n − 2) × 180°, for n sides.

Worked examples

Example 1

Find the sum of the interior angles of a hexagon.

Answer: 720°

Other years