# Geometry: Angles and Parallel Lines

In this worksheet, students work out the values of angles in diagrams with parallel lines.

Key stage:  KS 2

Curriculum topic:   Geometry: Properties of Shapes

Curriculum subtopic:   Know Angles and Degrees

Difficulty level:

### QUESTION 1 of 10

In this worksheet, understand that certain angles are equal to each other when a line is drawn across two parallel lines.

Look at the diagram below to see which of the 8 angles are equal to each other.  All the "a" angles are equal and all the "b" angles are equal.

Remember also that aº + bº = 180º as they are the angles on a straight line.

Also remember that the angles in a triangle add to 180º.

Look at this diagram and write down the value of a.

Look at this diagram and write down the value of b.

Look at this diagram and write down the value of a.

Look at this diagram and write down the value of b.

Look at this diagram and write down the value of a.

Look at this diagram and write down the value of b.

Look at this diagram and write down the value of a.

Look at this diagram and write down the value of b.

Look at this diagram and write down the value of a.

Look at this diagram and write down the value of b.

• Question 1

Look at this diagram and write down the value of a.

110
EDDIE SAYS
The a angles are equal to each other when a line is drawn across parallel lines, so the value of a is 110.
• Question 2

Look at this diagram and write down the value of b.

70
EDDIE SAYS
a + b = 180 110 + b = 180 b = 180 - 110 = 70
• Question 3

Look at this diagram and write down the value of a.

125
EDDIE SAYS
a + b = 180 a + 55 = 180 a = 180 - 55 = 125
• Question 4

Look at this diagram and write down the value of b.

55
EDDIE SAYS
The b angles are equal to each other when a line is drawn across parallel lines, so the value of b is 55.
• Question 5

Look at this diagram and write down the value of a.

75
EDDIE SAYS
The a angles are equal to each other when a line is drawn across parallel lines, so the value of a is 75.
• Question 6

Look at this diagram and write down the value of b.

105
EDDIE SAYS
a + b = 180 75 + b = 180 b = 180 - 75 = 105
• Question 7

Look at this diagram and write down the value of a.

65
EDDIE SAYS
a + b = 180 a + 115 = 180 a = 180 - 115 = 65
• Question 8

Look at this diagram and write down the value of b.

115
EDDIE SAYS
The b angles are equal to each other when a line is drawn across parallel lines, so the value of b is 115.
• Question 9

Look at this diagram and write down the value of a.

48
EDDIE SAYS
The a angles are equal to each other when a line is drawn across parallel lines, so the value of a is 48.
• Question 10

Look at this diagram and write down the value of b.

132
EDDIE SAYS
a + b = 180 48 + b = 180 b = 180 - 48 = 132
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