Basics of angles for AQA GCSE Maths

Basics of angles

This page covers the following topics:

1. Introduction to angles
2. Angles at a point, on a straight line

At a point where two lines meet or cross, an angle will be created. Angles can be labelled and written using letters as shown.

Introduction to angles

The angles around a point add up to 360° and angles on a straight line add up to 180°.

Angles at a point, on a straight line

1

If the angle around a point is a full circle, what are the size of the angles at the centre of a semi-circle?

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180°

If the angle around a point is a full circle, what are the size of the angles at the centre of a semi-circle?

2

How would you write the angle shown using the letters given?

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YXZ or YX̂Z or ∠YXZ

How would you write the angle shown using the letters given?

3

An angle is split with a line through the middle so that two angles of 47° are created. What is the size of the overall angle?

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94°

An angle is split with a line through the middle so that two angles of 47° are created. What is the size of the overall angle?

4

Calculate the value of x in the angle shown.

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41°

Calculate the value of x in the angle shown.

5

Calculate the size of angles A and B, given that the line XY cuts the circle around the point in half.

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A = 73°, B = 127°

Calculate the size of angles A and B, given that the line XY cuts the circle around the point in half.

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