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Geometry: Angles at a Point

In this worksheet, students calculate the missing angle around a point.

'Geometry: Angles at a Point' worksheet

Key stage:  KS 2

Curriculum topic:  Geometry: Properties of Shapes

Curriculum subtopic:  Recognise/Find Angles

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Angles around a point

 

Remember:

The angles around a point add to 360°.

So the missing angle = 360° - 25° - 105° - 90º = 140°

Three of the four angles around a point are 70º , 60º and  65º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

Three of the four angles around a point are 75º , 90º and  65º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

 

Three of the four angles around a point are 100º , 60º and  58º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

 

 

Three of the four angles around a point are 110º , 160º and  54º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

 

 

Three of the four angles around a point are 120º , 120º and  65º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

 

 

Three of the four angles around a point are 140º , 64º and  95º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

 

 

Three of the four angles around a point are 145º , 64º and  85º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

 

 

Three of the four angles around a point are 128º , 67º and  145º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

 

 

Four of the five angles around a point are 76º , 60º , 142º and  65º.

Work out the size of the fifth angle in degrees.

 

(Just write the number)

 

 

Nine of the ten angles around a point are 

72º , 69º , 5º  , 18º ,  12º , 20º , 37º , 18º and  35º.

Work out the size of the tenth angle in degrees.

 

(Just write the number)

 

  • Question 1

Three of the four angles around a point are 70º , 60º and  65º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

CORRECT ANSWER
165
EDDIE SAYS
360 - 70 - 60 - 65 = 165
  • Question 2

Three of the four angles around a point are 75º , 90º and  65º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

CORRECT ANSWER
130
EDDIE SAYS
360 - 75 - 90 - 65 = 130
  • Question 3

 

Three of the four angles around a point are 100º , 60º and  58º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

 

CORRECT ANSWER
142
EDDIE SAYS
360 - 100 - 60 - 58 = 142
  • Question 4

 

Three of the four angles around a point are 110º , 160º and  54º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

 

CORRECT ANSWER
36
EDDIE SAYS
360 - 110 - 160 - 54 = 36
  • Question 5

 

Three of the four angles around a point are 120º , 120º and  65º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

 

CORRECT ANSWER
55
EDDIE SAYS
360 - 120 - 120 -65 = 55
  • Question 6

 

Three of the four angles around a point are 140º , 64º and  95º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

 

CORRECT ANSWER
61
EDDIE SAYS
360 - 140 - 64 - 95 = 61
  • Question 7

 

Three of the four angles around a point are 145º , 64º and  85º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

 

CORRECT ANSWER
66
EDDIE SAYS
360 - 145 - 64 - 85 = 66
  • Question 8

 

Three of the four angles around a point are 128º , 67º and  145º.

Work out the size of the fourth angle in degrees.

 

(Just write the number)

 

CORRECT ANSWER
20
EDDIE SAYS
360 - 128 - 67 - 145 = 20
  • Question 9

 

Four of the five angles around a point are 76º , 60º , 142º and  65º.

Work out the size of the fifth angle in degrees.

 

(Just write the number)

 

CORRECT ANSWER
17
EDDIE SAYS
360 - 76 - 60 - 142 - 65 = 17
  • Question 10

 

Nine of the ten angles around a point are 

72º , 69º , 5º  , 18º ,  12º , 20º , 37º , 18º and  35º.

Work out the size of the tenth angle in degrees.

 

(Just write the number)

 

CORRECT ANSWER
74
EDDIE SAYS
360 - 72 - 69 - 5 - 18 - 12 - 20 - 37 - 18 - 35 = 74
---- OR ----

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