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Calculate Interior and Supplementary Angles

In this worksheet, students will learn how to recognise supplementary and interior angles and use the key facts relating to them to find the value of unknown angles and solve related problems.

'Calculate Interior and Supplementary 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

Cartoon image of a girl with questioning thoughts

 

Question: What do triangles and angles on a straight line have in common?

 

Answer: Angles in a triangle and angles on a straight line always add up to 180°.

 

Here is a further fact relating to angles and straight lines:

interior angles example

Interior angles are found within parallel lines, on the same side of the transversal (or the line drawn through them).

 

These angles are sometimes called co-interior or supplementary angles, and we need to be prepared to recognise them by any of these names. 

 

 

There are very few numbers which have great significance in maths, but 180 is definitely one of them!

Great stuff - three facts for the price of one!

To calculate a missing interior angle, we just need to subtract the angle given from 180°.

 

Let's put this knowledge of supplementary and interior angles into action now. 

 

In this activity, we will learn how to recognise all types of supplementary and interior angles and use the key fact, that interior angles add up to 180°, to find the value of unknown angles and solve related problems.

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