an angle formed inside a polygon by two of its edges.

an angle on the outside of a polygon between an extension of an edge and its adjacent edge.

Exterior angles of polygons

Maths

This unit gives pupils the opportunity to explore polygons and begin to generalise their understanding of interior/exterior angles in regular polygons. In the future unit, pupils will use the geometrical properties of a rhombus to perform various constructions

In this unit, pupils learnt how to calculate with angles at a point and angles on a straight line. In this unit, pupils extend their knowledge about angles in lines

Geometrical properties: polygons

An interior angle and its adjacent exterior angle sum to {{}}°.

In which diagram is an exterior angle marked?

Exterior angles in a polygon sum to {{}}°.

An {{}} angle is an angle on the outside of a polygon between an extension of an edge and its adjacent edge.

Adjacent angles on a straight line sum to {{}}°.

A heptagon is a 7-sided polygon. The sum of its interior angles is {{}}°.

Solve the equation: $$5x + 40 = 360$$. $$x = $${{}}

This lesson will be removed by end of Summer Term 2025.

Exterior angles of polygons

Lesson outcome

This lesson will be removed by end of Summer Term 2025.