The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

Geometry: Angles and Parallel Lines

In this worksheet, students work out the values of angles in diagrams with parallel lines.

'Geometry: Angles and Parallel Lines' worksheet

Key stage:  KS 2

Curriculum topic:   Geometry: Properties of Shapes

Curriculum subtopic:   Know Angles and Degrees

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this worksheet, understand that certain angles are equal to each other when a line is drawn across two parallel lines.

Look at the diagram below to see which of the 8 angles are equal to each other.  All the "a" angles are equal and all the "b" angles are equal.

Parallel angles

 

Remember also that aº + bº = 180º as they are the angles on a straight line.

Also remember that the angles in a triangle add to 180º.

Look at this diagram and write down the value of a.

 

Parallel angles

Look at this diagram and write down the value of b.

 

Look at this diagram and write down the value of a.

 

Parallel angles

Look at this diagram and write down the value of b.

 

Parallel angles

Look at this diagram and write down the value of a.

 

Parallel angles

Look at this diagram and write down the value of b.

 

Parallel angles

Look at this diagram and write down the value of a.

 

Parallel angles

Look at this diagram and write down the value of b.

 

Parallel angles

Look at this diagram and write down the value of a.

 

Parallel angles

Look at this diagram and write down the value of b.

 

Parallel angles

  • Question 1

Look at this diagram and write down the value of a.

 

Parallel angles

CORRECT ANSWER
110
EDDIE SAYS
The a angles are equal to each other when a line is drawn across parallel lines, so the value of a is 110.
  • Question 2

Look at this diagram and write down the value of b.

 

CORRECT ANSWER
70
EDDIE SAYS
a + b = 180 110 + b = 180 b = 180 - 110 = 70
  • Question 3

Look at this diagram and write down the value of a.

 

Parallel angles

CORRECT ANSWER
125
EDDIE SAYS
a + b = 180 a + 55 = 180 a = 180 - 55 = 125
  • Question 4

Look at this diagram and write down the value of b.

 

Parallel angles

CORRECT ANSWER
55
EDDIE SAYS
The b angles are equal to each other when a line is drawn across parallel lines, so the value of b is 55.
  • Question 5

Look at this diagram and write down the value of a.

 

Parallel angles

CORRECT ANSWER
75
EDDIE SAYS
The a angles are equal to each other when a line is drawn across parallel lines, so the value of a is 75.
  • Question 6

Look at this diagram and write down the value of b.

 

Parallel angles

CORRECT ANSWER
105
EDDIE SAYS
a + b = 180 75 + b = 180 b = 180 - 75 = 105
  • Question 7

Look at this diagram and write down the value of a.

 

Parallel angles

CORRECT ANSWER
65
EDDIE SAYS
a + b = 180 a + 115 = 180 a = 180 - 115 = 65
  • Question 8

Look at this diagram and write down the value of b.

 

Parallel angles

CORRECT ANSWER
115
EDDIE SAYS
The b angles are equal to each other when a line is drawn across parallel lines, so the value of b is 115.
  • Question 9

Look at this diagram and write down the value of a.

 

Parallel angles

CORRECT ANSWER
48
EDDIE SAYS
The a angles are equal to each other when a line is drawn across parallel lines, so the value of a is 48.
  • Question 10

Look at this diagram and write down the value of b.

 

Parallel angles

CORRECT ANSWER
132
EDDIE SAYS
a + b = 180 48 + b = 180 b = 180 - 48 = 132
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
laptop

Start your £1 trial today.
Subscribe from £10/month.