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Calculate Angles

In this worksheet, students will be asked to calculate the missing angles on a straight line, in a quadrilateral, around a point and on an intersecting line.

'Calculate Angles ' worksheet

Key stage:  KS 2

Year:  Year 6 Maths worksheets

Curriculum topic:   Geometry: Properties of Shapes

Curriculum subtopic:   Recognise/Find Angles

Popular topics:   Geometry worksheets

Difficulty level:  

Worksheet Overview

In this activity, you will need to find missing angles.


Missing angles on a straight line:

Angles on a straight line add up to 180°.

To calculate a missing angle on a straight line, take away the known angle from 180°.


missing angle on a straight line. 1 angle is 55 degrees. 1 angle is missing.


180° - 55° = 125°



Missing angles in a full turn:

Angles in a full turn add up to 360°.

To calculate a missing angle in a full turn, take away the known angle from 360°.


missing angle around a point. 1 angle is 105 degrees. 1 angle is missing.


360° - 105° = 255°



Missing angles on intersecting lines:

All 4 angles will add up to 360°.

Opposite angles on a cross are equal.


2 missing angles at intersecting lines. 2 opposite angles are 72 degrees. Other 2 opposite angles are missing.


360° - 72° - 72° = 216°

216° ÷ 2 = 108°

Both missing angles are 108°



Missing angles in quadrilaterals:

A quadrilateral is any shape with 4 sides.

For example: square, rhombus, trapezium, parallelogram.

The angles in a quadrilateral add up to to 360°.


missing angle in a trapezium. 2 bottom angles are 82 degrees. 1 top angle is 98 degrees. Other top angle is missing.


360° - 82° - 82° - 98° = 98°

We can also see that, in this trapezium, opposite angles are the same.

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