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Identify Vertically Opposite Angles

In this worksheet, students will use the key fact, that vertically opposite angles are equal, to find the value of unknown angles using number and algebra.

'Identify Vertically Opposite Angles' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR,

Curriculum topic:   Geometry and Measures, Basic Geometry

Curriculum subtopic:   Properties and Constructions Angles

Difficulty level:  

Worksheet Overview

Elephant and a mouse on a see saw

 

If you are the mouse on the see saw above, it makes sense that you wouldn't want to face the elephant opposite you.

You would want someone opposite you of the same size, to make things equal and moving the seesaw a lot easier!

 

There are lots of things in maths that are equal; a fact which often makes problems easier for us to solve as a result. 

 

 

When two lines intersect with each other (cross over), four angles are formed.

 

The pair of angles which lie opposite each other at the point of intersection are called vertically opposite angles.

Vertically opposite angles are equal as shown in this diagram:

Diagram of opposite angles

As an added extra, we can see that the angles on each of the straight lines, also add up 180°.

 

 

 

Right then, let's put what we know into action now. 

 

In this activity, we will use the key fact, that vertically opposite angles are equal, to find the value of unknown angles using number and algebra and solve problems involving vertically opposite angles. 

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