Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Calculating Angles at a Point and on a Straight Line

In this worksheet, students calculate angles at a point and on a straight line.

This content is premium and exclusive to EdPlace subscribers.

'Calculating Angles at a Point and on a Straight Line' worksheet

Key stage:  KS 2

Year:  Year 4 11+ worksheets

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   2D Shapes: Circles, Angles and Bearings

Difficulty level:  

Worksheet Overview

How do you feel about angles?  They're all around us if you think about it.  Why not take a look around and see how many you can see?

 

What's an angle?  An angle can be found anywhere that two straight lines meet.  It's the space in the middle of the two lines.

 

PencilLook at this pencil - the lead showing at the end could represent an angle for example!



To be able to feel confident when dealing with angles we need to learn a few key rules.  You can come back to this at any time, or, you may find it useful to write these down!

 

Rules of Angles

 

Angles at a point add to 360°, but what does this mean? Take a look below, you can see the point is where the two lines meet.  If we were to continue drawing around the whole point you will see that we've drawn a ... circle?  This leads us to our next rule...

 

Angles inside a circle add up to 360° it's a rule you just need to learn!

 

Angles on a straight line add to 180° this is a rule we just have to learn.  If you take a protractor to any straight line and measure the angle on it, you will find it always equals 180°, which is half the angle in a circle.

 

Have a look at the ways we can calculate angles below.

If we know one of the angles at a point, or on a straight line, we can calculate the other one based on the rules above.

 

Examples

At a point: - the angle adds up to 360 ° 
 

 

a + 270° = 360°
a = 90°

 

On a straight line:

 


b + 65° = 180°
b = 115°

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

Try an activity or get started for free

  • National Tutoring Awards 2023 Shortlisted / Parents
    National Tutoring Awards 2023 Shortlisted
  • Private-Tutoring-WINNER-EducationInvestor-Awards / Parents
    Winner - Private Tutoring
  • Bett Awards Finalist / Parents
    Finalist
  • Winner - Best for Home Learning / Parents
    Winner - Best for Home Learning / Parents