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Calculate Missing Angles in a Quadrilateral

In this worksheet, students will examine and calculate missing angles in a quadrilateral.

'Calculate Missing Angles in a Quadrilateral' worksheet

Key stage:  KS 2

Year:  Year 5 Maths worksheets

Curriculum topic:   Geometry: Properties of Shapes

Curriculum subtopic:   Identify Angles at a Point

Difficulty level:  

Worksheet Overview

In this activity, we will learn how to calculate missing angles in quadrilaterals.

Remember that quadrilaterals are simply shapes with four sides.


boy with question marks


We know that all angles in a quadrilateral add together to make a total of 360°


Let's try an example question together.



Calculate the missing angle in this quadrilateral.





We know that 126 + 56 + 106 + a = 360

So, to work out a, we need to subtract the other angles from 360.


126 + 56 + 106 = 288

360 - 288 = 72

a = 72°


girl thinking


Let's have a go at some questions now.

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