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Solve Problems with Angles on Parallel Lines

In this worksheet, students will solve problems by finding the missing angles on parallel lines.

'Solve Problems with Angles on Parallel Lines ' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Apply the Properties of Angles

Difficulty level:  

Worksheet Overview

In this activity, we will solve problems by calculating missing angles on parallel lines.   

 

There are three rules. 

 

1  Alternate angles

 

alternate anglesalternate angles

 

Alternate angles form a Z shape.

The angles are the same size.

 

 

2 Corresponding angles

 

corresponding

 

Corresponding angles form an F shape.

The angles are the same size.

 

 

3 Co-Interior angles

 

co-interior or supplementary angles

 

Co-interior angles form a C shape - sometimes known as supplementary angles.

They are NOT the same, but they add up to 180o

 

Make a note of the three rules and we will look at the way they are used in a question. 

 

Example

Find the missing angles and give reasons.

 

angles on parallel lines

 

 

Answer

Angle A forms a Z shape with 58o

A = 58o (alternate angles)

 

alternate angles

 

Angle B forms a C shape with 110o

B = 180 - 110 = 70o (co-interior angles)

 

co-interior angles

 

Angle C is an X from 110o

C = 110o (vertically opposite)

 

vertically opposite angles

 

When we get questions like this in an exam, there are as many marks for the reasons as there are for the answer!

 

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