 # 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. Key stage:  KS 2

Curriculum topic:   Geometry: Properties of Shapes

Curriculum subtopic:   Recognise/Find Angles

Difficulty level:   ### 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.

A quadrilateral is any shape with 4 sides.

For example: square, rhombus, trapezium, parallelogram.

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?

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?

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.

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?

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?

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?

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.

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?

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.

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°.

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°.

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 