Corresponding Angles & Alternate Angles

(Level 3 - 5)

2

1 In the diagram below, 𝐴𝐴𝐴𝐴 is parallel to line 𝐶𝐶𝐶𝐶. (Level 3)

1(a) Find the value of 𝑥𝑥

Give a reason for your answer.

[2 marks]

Answer

1(b) Find the value of 𝑦𝑦

Give a reason for your answer.

[2 marks]

Answer

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4

𝐴𝐴 𝐴𝐴

𝐶𝐶 𝐶𝐶

105°

𝑥𝑥𝑥

𝑦𝑦𝑥

Not drawn accurately

3

2 In the diagram below, 𝐴𝐴𝐴𝐴 is parallel to line 𝐶𝐶𝐶𝐶. (Level 3)

2(a) Find the value of 𝑥𝑥

Give a reason for your answer.

[2 marks]

Answer

2(b) Find the value of 𝑦𝑦

Give a reason for your answer.

[2 marks]

Answer

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4

𝐴𝐴 𝐴𝐴

𝐶𝐶 𝐶𝐶

100°

𝑥𝑥𝑥𝑦𝑦𝑥

Not drawn accurately

4

3 In the diagram below, 𝐴𝐴𝐴𝐴 is parallel to line 𝐶𝐶𝐶𝐶. (Level 3)

Find the value of 𝑥𝑥

Give a reason for your answer.

[3 marks]

Answer

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3

𝐴𝐴 𝐴𝐴

𝐶𝐶 𝐶𝐶

𝑥𝑥𝑥

105°

Not drawn accurately

5

4 In the diagram below, 𝐴𝐴𝐴𝐴 is parallel to line 𝐶𝐶𝐶𝐶 and 𝐸𝐸𝐸𝐸. (Level 3)

Find the value of 𝑥𝑥

Give a reason for each step of your answer.

[3 marks]

Answer

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3

𝐴𝐴 𝐴𝐴

𝐶𝐶 𝐶𝐶

78°

𝐸𝐸 𝐸𝐸𝑥𝑥

Not drawn accurately

6

5 𝐴𝐴𝐴𝐴𝐶𝐶 is an isosceles triangle shown below (Level 4)

Lines 𝐶𝐶𝐸𝐸 and 𝐴𝐴𝐶𝐶 are parallel

𝐴𝐴𝐴𝐴 = 𝐴𝐴𝐶𝐶

Find the value of 𝑥𝑥

Give a reason for each step of your answer.

[3 marks]

Answer

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3

𝐴𝐴

𝐴𝐴 𝐶𝐶

𝐶𝐶 𝐸𝐸40°

𝑥𝑥𝑥

Not drawn accurately

7

6 The diagram below shows two parallel lines and a rectangle (Level 4)

𝐴𝐴𝐴𝐴 = 𝐸𝐸𝐸𝐸

𝐴𝐴𝐶𝐶𝐸𝐸𝐶𝐶 is a rectangle

∠𝐴𝐴𝐴𝐴𝐶𝐶 = 50°

∠𝐶𝐶𝐸𝐸𝐸𝐸 = 𝑥𝑥𝑥

Find the value of 𝑥𝑥

Give a reason for each step of your answer.

[2 marks]

Answer

End of questions

END

2

50°

𝑥𝑥𝑥

𝐴𝐴𝐴𝐴

𝐶𝐶

𝐸𝐸

𝐶𝐶

𝐸𝐸

Not drawn accurately