The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

Calculate Angles

In this worksheet, students will be asked to calculate the missing angles on a straight line, in a quadrilateral, around a point and on an intersecting line.

'Calculate Angles ' worksheet

Key stage:  KS 2

Curriculum topic:   Geometry: Properties of Shapes

Curriculum subtopic:   Recognise/Find Angles

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this activity, you will need to find missing angles.

 

Missing angles on a straight line:

Angles on a straight line add up to 180°.

To calculate a missing angle on a straight line, take away the known angle from 180°.

 

Missing angles in a full turn:

Angles in a full turn add up to 360°.

To calculate a missing angle in a full turn, take away the known angle from 360°.

 

Missing angles on intersecting lines:

All 4 angles will add up to 360°.

Opposite angles on a cross are equal.

 

Missing angles in quadrilaterals:

A quadrilateral is any shape with 4 sides.

For example: square, rhombus, trapezium, parallelogram.

The angles in a quadrilateral add up to to 360°.

On a straight line, there is an angle of 62°.

What is the missing angle worth?

98°

128°

108°

118°

On a straight line, there is an angle shown of 137°.

What is the second angle worth?

 

Just write the number.

On a straight line, there is an angle of 103°.

What is the second angle worth?

Write the correct answer.

 

quadrilateral has the angles 34°, 78° and 106°.

Can you choose the correct answer for the fourth, missing angle?

132°

102°

142°

144°

quadrilateral has the angles 66°, 17° and 189°.

Can you choose the correct answer for the fourth, missing angle?

98°

108°

118°

88°

quadrilateral has the angles 201°, 11° and 81°

 

Can you write the correct answer for the fourth, missing angle?

Just write the number.

Three of the four angles around a point are: 117°, 103° and 9°. 

Can you choose the correct the missing angle?

Four of the five angles around a point are:

67°, 91°, 12°, 77°

Can you write the correct number for the missing angle?

Just write the number.

 

On a pair of intersecting lines, all we know is that one angle is worth 55°.

Can you choose from the correct combination below to show what the other 3 angles must be worth?

Remember, we know that the angles around a point will have to total 360°.

55°,55°,125°

125°,125°,125°

55°,125°,125°

105°,55°,105°

On a pair of intersecting lines, all we know is that one angle is worth 82°.

Can you choose from the correct combination below to show what the other 3 angles must be worth?

Remember, we know that the angles around a point will have to total 360°.

102°,102°,98°

82°,82°,98°

92°,108°,108°

82°,98°,98°

  • Question 1

On a straight line, there is an angle of 62°.

What is the missing angle worth?

CORRECT ANSWER
118°
EDDIE SAYS
Remember the angles in a straight line add up to 180°. Therefore 180 - 62 = 118°. Simple, right?
  • Question 2

On a straight line, there is an angle shown of 137°.

What is the second angle worth?

 

Just write the number.

CORRECT ANSWER
43
EDDIE SAYS
Again, remember the rule that the angles in a straight line add up to 180°. Therefore 180 - 137 = 43°.
  • Question 3

On a straight line, there is an angle of 103°.

What is the second angle worth?

Write the correct answer.

 

CORRECT ANSWER
EDDIE SAYS
Again, remember the rule that the angles in a straight line add up to 180°. Therefore, 180 - 103 = 77°
  • Question 4

quadrilateral has the angles 34°, 78° and 106°.

Can you choose the correct answer for the fourth, missing angle?

CORRECT ANSWER
142°
EDDIE SAYS
Remember the angles in a quadrilateral add up to a total of 360°. The first step was to add all of the angles you knew about together: 34° + 78° + 106° = 218 Then subtract this from 360° 360° - 218° = 142°
  • Question 5

quadrilateral has the angles 66°, 17° and 189°.

Can you choose the correct answer for the fourth, missing angle?

CORRECT ANSWER
88°
EDDIE SAYS
Remember the angles in a quadrilateral add up to a total of 360°. The first step was to add all of the angles you knew about together: 66° + 17° + 189° = 272° Then subtract this from 360° 360° - 272° = 88°
  • Question 6

quadrilateral has the angles 201°, 11° and 81°

 

Can you write the correct answer for the fourth, missing angle?

Just write the number.

CORRECT ANSWER
67
EDDIE SAYS
Remember the angles in a quadrilateral add up to a total of 360°. The first step was to add all of the angles you knew about together 201° + 11° + 81° = 293 Then subtract this from 360° 360° - 293° = 67°
  • Question 7

Three of the four angles around a point are: 117°, 103° and 9°. 

Can you choose the correct the missing angle?

CORRECT ANSWER
EDDIE SAYS
To tackle this one, the rule to remember is that angles around a point total 360°. Firstly, add all of the angles you have been given together 117 + 103 + 9 = 229° 360 - 229 = 131°
  • Question 8

Four of the five angles around a point are:

67°, 91°, 12°, 77°

Can you write the correct number for the missing angle?

Just write the number.

 

CORRECT ANSWER
EDDIE SAYS
Again, we needed the rule that the angles around a point total 360°. Add all of the given angles together: 67 + 91 + 12 + 77 = 247° 360° - 247° = 113°
  • Question 9

On a pair of intersecting lines, all we know is that one angle is worth 55°.

Can you choose from the correct combination below to show what the other 3 angles must be worth?

Remember, we know that the angles around a point will have to total 360°.

CORRECT ANSWER
55°,125°,125°
EDDIE SAYS
The first step was to multiply 55° by 2 = 110°. Then 360° - 110° = 250. Divide 250 by 2 to find out what each of the remaining angles is worth. 250 ÷2 = 125. So the four angles on the intersecting lines are: 55°, 55°, 125° and 125°. When added together, this totals 360°.
  • Question 10

On a pair of intersecting lines, all we know is that one angle is worth 82°.

Can you choose from the correct combination below to show what the other 3 angles must be worth?

Remember, we know that the angles around a point will have to total 360°.

CORRECT ANSWER
82°,98°,98°
EDDIE SAYS
The first step was to multiply 82° by 2 = 164°. Then 360° - 164° = 196. Divide 196 by 2 to find out what each of the remaining angles is worth... 196 ÷2 = 98. So the four angles on the intersecting lines are: 82°, 82°, 98° and 98°. When added together, this totals 360°. Practise makes perfect! That’s another activity ticked off!
---- 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.