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

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

Forming equations with angles

Maths

Checking and securing understanding of advanced angle facts

Checking and securing understanding on chains of reasoning with angle facts

Checking and securing understanding of polygons

Checking and securing understanding of interior angles

Problem solving with angles

In this unit, pupils applied their understanding of angles to solve increasingly complex problems. In the future unit, pupils will use their mathematical reasoning to derive and use various circle theorems. 

In the prior unit, pupils learnt how to identify corresponding, alternate and co-interior angles. In this unit, pupils use their knowledge of these angles to reason through and solve more complicated problems.

In this unit pupils use their knowledge of corresponding, alternate and co-interior angles to reason through and solve more complicated problems.

Angles

Match each description to the correct statement.

Find the value of $$x$$. Give your answer correct to 3 significant figures.

Find an equation for $$y$$ in terms of $$x$$.

The exterior angles of any polygon __________ sum to 360°.

The interior angles of any polygon __________ sum to 360°.

An interior angle and its adjacent exterior angle __________ sum to 360°.

A regular polygon has exterior angles of size 24°. The polygon has {{ }} sides.

The size of each exterior angle of a regular octagon is {{}}°.

The regular polygon that has interior angles that are equal to its exterior angles is a {{ }}.

Starter Quiz

The exterior angles of any polygon __________ sum to 360°.