 # Angles on Parallel lines

In this worksheet, students answer questions on alternate and corresponding angles on parallel lines. Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

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

Difficulty level:   ### QUESTION 1 of 10

In this worksheet, we will learn about parallel lines. Parallel lines run in the same direction and are marked by arrow heads, as above.  They never meet.

Parallel lines which are intersected by an oblique line give rise to sets of equal angles.

The two angles marked in diagram (a) are equal. They are corresponding angles and can be found in an F-shape which is rotated. Can you find three other pairs of corresponding angles?

The two angles in diagram (b) are equal and are alternate angles and can be found in a z-shape, Find the value of angle A in degrees.

(Just write the number) Find the value of angle A in degrees.

(Just write the number) Find the value of angle A in degrees.

(Just write the number) Find the value of A. Look at these angles.

Select the angle which is corresponding to (the same as) angle a. a

b

c

d

e

f

g

h

Look at these angles.

Select the angle which is corresponding to (the same as) angle c. a

b

c

d

e

f

g

h

Look at these angles.

Select the angle which is alternate to angle c. a

b

c

d

e

f

g

h

Look at these angles.

Select the angle which is alternate to angle f. a

b

c

d

e

f

g

h

Look at these angles.

Select all the angles which are equal to angle a. a

b

c

d

e

f

g

h

Look at these angles.

Select all the angles which are equal to angle b. a

b

c

d

e

f

g

h

• Question 1

Find the value of angle A in degrees.

(Just write the number) 110
• Question 2

Find the value of angle A in degrees.

(Just write the number) 45
• Question 3

Find the value of angle A in degrees.

(Just write the number) 154
• Question 4

Find the value of A. 134
• Question 5

Look at these angles.

Select the angle which is corresponding to (the same as) angle a. e
• Question 6

Look at these angles.

Select the angle which is corresponding to (the same as) angle c. g
• Question 7

Look at these angles.

Select the angle which is alternate to angle c. e
• Question 8

Look at these angles.

Select the angle which is alternate to angle f. d
• Question 9

Look at these angles.

Select all the angles which are equal to angle a. a
c
e
g
• Question 10

Look at these angles.

Select all the angles which are equal to angle b. b
d
f
h
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