# Angles in Triangles and on Parallel Lines (1)

In this worksheet, students use angle rules to work out the missing angles in triangles and parallel lines.

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Understand the Relationship Between Parallel Lines and Angles

Difficulty level:

### QUESTION 1 of 10

Look at the following diagram.

Angle aº = 58º because it is alternate to the 58º on parallel lines (Z or S shape)

Angle bº = 48º because it is alternate to the 48º on parallel lines (Z or S shape)

Angle cº = 180º - 48º - 58º = 74º for two reasons.....angles in a triangle add up to 180º and angles on a straight line add up to 180º

Angle dº = 180º - 58º = 122º because angles on a straight line add up to 180º

Look at the following diagram and work out the value of c.

(Just write the number)

Look at the following diagram and work out the value of a.

(Just write the number)

Look at the following diagram and work out the value of b.

(Just write the number)

Look at the following diagram and work out the value of d.

(Just write the number)

Look at the following diagram and work out the value of a.

(Just write the number)

Look at the following diagram and work out the value of b.

(Just write the number)

Look at the following diagram and work out the value of c.

(Just write the number)

Look at the following diagram and work out the value of d.

(Just write the number)

Look at the following diagram and work out the value of d.

(Just write the number)

Look at the following diagram and work out the value of c.

(Just write the number)

• Question 1

Look at the following diagram and work out the value of c.

(Just write the number)

CORRECT ANSWER
66
• Question 2

Look at the following diagram and work out the value of a.

(Just write the number)

CORRECT ANSWER
61
• Question 3

Look at the following diagram and work out the value of b.

(Just write the number)

CORRECT ANSWER
53
• Question 4

Look at the following diagram and work out the value of d.

(Just write the number)

CORRECT ANSWER
119
• Question 5

Look at the following diagram and work out the value of a.

(Just write the number)

CORRECT ANSWER
57
• Question 6

Look at the following diagram and work out the value of b.

(Just write the number)

CORRECT ANSWER
64
• Question 7

Look at the following diagram and work out the value of c.

(Just write the number)

CORRECT ANSWER
116
• Question 8

Look at the following diagram and work out the value of d.

(Just write the number)

CORRECT ANSWER
59
• Question 9

Look at the following diagram and work out the value of d.

(Just write the number)

CORRECT ANSWER
122
• Question 10

Look at the following diagram and work out the value of c.

(Just write the number)

CORRECT ANSWER
80
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