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Calculating Angles at a Point and on a Straight Line

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

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

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

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

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Angles at a point add to 360°.

Angles on a straight line add to 180°.

 

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

 

Examples

 

At a point:
 

a + 240° = 360°
a = 120°
On a straight line:
 
 
 
 

b + 160° = 180°
b = 20°
At a point:
 
 

a + 45° = 360°
a = 315°

Calculate the unknown angle.

 

a = 120

a = 120°

a = 60°

Calculate the unknown angle.

 

a = 220°

a = 120°

a = 315°

Calculate the unknown angle.

 

b = 40°

b = 20°

b = 15°

Calculate the unknown angles, c and d.

 

 120°90°100°
c
d

Calculate the unknown angle.

 

a = 140°

a = 110°

a = 115°

Calculate the unknown angle.

 

a = 325°

a = 210°

a = 245°

Calculate the unknown angle.

 

a = 85°

a = 90°

a = 45°

Calculate the unknown angle.

 

 

b = 55°

b = 55

b = 45°

Calculate the unknown angle.

 

 

b = 55°

b = 180°

b = 25°

Calculate the unknown angles, c and d.

 

 140°60°40°
c
d
  • Question 1

Calculate the unknown angle.

 

CORRECT ANSWER
a = 120°
EDDIE SAYS
Angles around a point add up to 360° 360 - 240 = 120
  • Question 2

Calculate the unknown angle.

 

CORRECT ANSWER
a = 315°
EDDIE SAYS
Angles around a point add up to 360° 360 - 45 = 315
  • Question 3

Calculate the unknown angle.

 

CORRECT ANSWER
b = 20°
EDDIE SAYS
Angles on a straight line must add to 180° 180 - 160 = 20
  • Question 4

Calculate the unknown angles, c and d.

 

CORRECT ANSWER
 120°90°100°
c
d
EDDIE SAYS
Angles around a point add up to 360° c + 90 = 180
c = 90
d = 90
  • Question 5

Calculate the unknown angle.

 

CORRECT ANSWER
a = 110°
EDDIE SAYS
Angles around a point add up to 360° 360 - 250 = 110
a = 110
  • Question 6

Calculate the unknown angle.

 

CORRECT ANSWER
a = 325°
EDDIE SAYS
Angles around a point add up to 360° 360 - 35 = 325
a = 325
  • Question 7

Calculate the unknown angle.

 

CORRECT ANSWER
a = 85°
EDDIE SAYS
Angles around a point add up to 360° 360 - 275 = 85
a = 85
  • Question 8

Calculate the unknown angle.

 

 

CORRECT ANSWER
b = 55°
EDDIE SAYS
Angles on a straight line must add to 180° 180 - 125 = 55
b = 55
  • Question 9

Calculate the unknown angle.

 

 

CORRECT ANSWER
b = 25°
EDDIE SAYS
Angles on a straight line must add to 180° 180 - 155 = 25
b = 25
  • Question 10

Calculate the unknown angles, c and d.

 

CORRECT ANSWER
 140°60°40°
c
d
EDDIE SAYS
Angles on a straight line must add to 180° c + 140 = 180
c = 40
d = 180 - 40
d = 140
---- OR ----

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