(Level 3 - 5)
Corresponding Angles & Alternate Angles
2
1
In the diagram below, 𝐴𝐴𝐴𝐴 is parallel to line 𝐶𝐶𝐶𝐶.
105°
𝐴𝐴
𝑥𝑥𝑥
𝐶𝐶
1(a)
𝑦𝑦𝑦
(Level 3)
Not drawn
accurately
𝐵𝐵
𝐷𝐷
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
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3
2
In the diagram below, 𝐴𝐴𝐴𝐴 is parallel to line 𝐶𝐶𝐶𝐶.
(Level 3)
Not drawn
accurately
𝐴𝐴
𝑦𝑦𝑦
𝐶𝐶
2(a)
𝑥𝑥𝑥
100°
𝐵𝐵
𝐷𝐷
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
4
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4
3
In the diagram below, 𝐴𝐴𝐴𝐴 is parallel to line 𝐶𝐶𝐶𝐶.
(Level 3)
Not drawn
accurately
𝑥𝑥𝑥
𝐴𝐴
105°
𝐶𝐶
𝐵𝐵
𝐷𝐷
Find the value of 𝑥𝑥
Give a reason for your answer.
[3 marks]
Answer
3
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5
4
In the diagram below, 𝐴𝐴𝐴𝐴 is parallel to line 𝐶𝐶𝐶𝐶 and 𝐸𝐸𝐸𝐸.
78°
𝐴𝐴
𝐶𝐶
(Level 3)
Not drawn
accurately
𝐵𝐵
𝐷𝐷
𝐸𝐸
𝑥𝑥
𝐹𝐹
Find the value of 𝑥𝑥
Give a reason for each step of your answer.
[3 marks]
Answer
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3
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6
5
𝐴𝐴𝐴𝐴𝐴𝐴 is an isosceles triangle shown below
(Level 4)
Lines 𝐷𝐷𝐷𝐷 and 𝐵𝐵𝐵𝐵 are parallel
𝐴𝐴𝐴𝐴 = 𝐴𝐴𝐴𝐴
Not drawn
accurately
𝐴𝐴
𝐷𝐷
𝐵𝐵
𝑥𝑥𝑥
40°
𝐸𝐸
𝐶𝐶
Find the value of 𝑥𝑥
Give a reason for each step of your answer.
[3 marks]
Answer
3
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7
6
The diagram below shows two parallel lines and a rectangle
(Level 4)
𝐴𝐴𝐴𝐴 = 𝐹𝐹𝐹𝐹
𝐵𝐵𝐵𝐵𝐵𝐵𝐵𝐵 is a rectangle
∠𝐴𝐴𝐴𝐴𝐴𝐴 = 50°
∠𝐷𝐷𝐷𝐷𝐷𝐷 = 𝑥𝑥𝑥
𝐴𝐴
50°
Not drawn
accurately
𝐶𝐶
𝐷𝐷
𝑥𝑥𝑥
𝐹𝐹
𝐵𝐵
𝐸𝐸
Find the value of 𝑥𝑥
Give a reason for each step of your answer.
[2 marks]
Answer
End of questions
2
END