Exterior angles - GCSE Maths Definition

Reviewed by: Mark Curtis

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Exterior angles are angles formed on the outside of a polygon when you extend one of its sides. For example, in a hexagon, if you extend a side, the angle created between the extended line and the next side of the hexagon is called an exterior angle. Exterior angles have a special property where, if you add up one exterior angle from each vertex of a polygon, the total will always be 360 degrees, no matter how many sides the shape has. This rule can help you understand and solve problems involving polygons and their angles in your maths GCSE course.

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Mark Curtis

Reviewer: Mark Curtis

Expertise: Maths Content Creator

Mark graduated twice from the University of Oxford: once in 2009 with a First in Mathematics, then again in 2013 with a PhD (DPhil) in Mathematics. He has had nine successful years as a secondary school teacher, specialising in A-Level Further Maths and running extension classes for Oxbridge Maths applicants. Alongside his teaching, he has written five internal textbooks, introduced new spiralling school curriculums and trained other Maths teachers through outreach programmes.

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