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Angles in Polygons

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Lesson

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8 minute activity

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Pentagon with one interior angle inside, one exterior angle outside, and a straight line showing they add to 180° A polygon is a flat 2D shape with straight sides, and each corner is called a vertex. The angle inside the shape is an interior angle.

If you extend one side, the angle outside is an exterior angle. At one vertex, the interior and exterior angles form a straight line, so they add to 180∘180^\circ180∘.

You also need three facts from earlier work: angles on a straight line add to 180∘180^\circ180∘, angles around a point add to 360∘360^\circ360∘, and angles in a triangle add to 180∘180^\circ180∘. These facts are the building blocks for polygon questions.

Questions

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45 exam-style questions

Practice questions

Question 1

2 marks

Work out the size of an exterior angle of a regular hexagon.

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22 flashcards

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What do angles on a straight line add to?

Angles in Polygons Revision Guide

  1. GCSE
  2. /Maths
  3. /Angles in Polygons

Revision notes for Edexcel GCSE Maths Angles in Polygons. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.

Revision guides

Practise questions

1 of 5

What is the sum of the interior angles of a decagon?