Interior angles - GCSE Maths Definition

Reviewed by: Dan Finlay

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Interior angles are the angles found inside a shape or polygon. When you add up all the interior angles of a triangle, the total is always 180 degrees. For other polygons, you can work out the sum of their interior angles by using the formula: (number of sides - 2) × 180 degrees. For example, a square has four sides, and its interior angles add up to 360 degrees.

Knowing about interior angles helps you understand the shapes better and solve problems in geometry.

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Dan Finlay

Reviewer: Dan Finlay

Expertise: Maths Subject Lead

Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.

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