Basics of angles for SQA National 5 Maths

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.

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

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?

180°

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

YXZ or YX̂Z or ∠YXZ

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?

94°

Calculate the value of x in the angle shown.

41°

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

A = 73°, B = 127°

End of page