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Calculate Angles in Triangles and on Parallel Lines

In this worksheet, students will use angle rules to work out the missing angles in triangles and parallel lines.

'Calculate Angles in Triangles and on Parallel Lines ' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Understand the Relationship Between Parallel Lines and Angles

Popular topics:   Angles worksheets

Difficulty level:  

Worksheet Overview

Look at the following diagram.

 

We can use our knowledge of angle rules to work out all the missing angles.

 

 

Angle aº = 58º because it is alternate to the 58º on parallel lines (Z or S shape)

 

Angle bº = 48º because it is alternate to the 48º on parallel lines (Z or S shape)

 

Angle cº = 180º - 48º - 58º = 74º for two reasons.....angles in a triangle add up to 180º and angles on a straight line add up to 180º

 

Angle dº = 180º - 58º = 122º because angles on a straight line add up to 180º

 

Let's have a go at some questions now.

 

You can look back to this page for a reminder of the rules by clicking on the pink button at the side of the activity.

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