Alternate Angles: GCSE Maths Definition

Jamie Wood

Written by: Jamie Wood

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What are alternate angles?

In GCSE maths, alternate angles are a pair of equal angles which are formed either side of a line when the line cuts across two parallel lines. In the diagram below, the orange angles are equal, and the green angles are equal.

Two diagrams show parallel lines with transversal lines, highlighting alternate angles in orange on the left and green on the right.
Two examples of alternate angles. The orange angles are equal, and the green angles are equal.

Alternate angles are one of the angle properties of parallel lines you should be able to identify. The others are corresponding angles; which are equal, and allied or co-interior angles; which sum to 180 degrees. These angle properties can be used to help solve problems with missing angles. You can read more about all of these angle properties, and see worked examples, in our revision notes.

You may have also seen alternate angles referred to as “Z-angles”, whilst this can help you identify where alternate angles appear (in a z-shape), this term will not score you marks in an exam.

Alternate angles revision resources to ace your exams

You can find out more about angles in parallel lines, including alternate angles, by reading our revision notes. To test your knowledge, try our exam questions for angles in polygons & parallel lines.

For quick-fire GCSE maths revision use our collection of interactive flashcards for GCSE maths, and we of course have past papers too for your exam practice.

Explore GCSE maths revision resources

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Jamie Wood

Author: Jamie Wood

Expertise: Maths

Jamie graduated in 2014 from the University of Bristol with a degree in Electronic and Communications Engineering. He has worked as a teacher for 8 years, in secondary schools and in further education; teaching GCSE and A Level. He is passionate about helping students fulfil their potential through easy-to-use resources and high-quality questions and solutions.

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