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Calculate Missing Angles at a Point

In this worksheet, students will examine and calculate angles at the point where one whole turn is 360 degrees.

'Calculate Missing Angles at a Point' worksheet

Key stage:  KS 2

Year:  Year 5 Maths worksheets

Curriculum topic:   Geometry: Properties of Shapes

Curriculum subtopic:   Identify Angles at a Point

Popular topics:   Angles worksheets, Geometry worksheets

Difficulty level:  

Worksheet Overview

In this activity, we will learn how to calculate angles in a full rotation. 

Sometimes we call these angles around a point.

 

We know that all angles around a point add together to make a total of 360°

 

For example, below we can see that one of the angles around a point is 240°

 

The other, a, is unknown. 

We can subtract the known angle from 360° to find the value of a.

 

360 - 240 = 120

a = 120°

 

angles around a point

 

Let's try an example question together.

 

Example

Calculate the other angle around this point.

 

Angle 300

 

Answer

Angle = 360° - 300° = 60°

 

Let's have a go at some questions now.

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