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Angle Practice
Question 1
[Edexcel GCSE June2011-2F Q3ii Edited]
Give a reason why 𝑥 = 143° .
[
[
[
[
[
] Alternate angles are equal
] Corresponding angles are equal
] Allied angles add up to 180
] Angles on a straight line add up to 180
] Angles about a point add up to 360
°
°
°
(1 mark)
Question 2
Work out the size of ∠𝐶𝐵𝐴 in the triangle drawn below.
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∠𝐶𝐵𝐴 = ..........................
°
𝑣 = ..........................
°
Question 3
[Edexcel GCSE Jan2016(R)-1F Q10d Edited]
𝐴𝐵𝐶𝐷 and 𝐸𝐵𝐹 are straight lines.
Angle 𝐹𝐵𝐶 = 36° and angle 𝐹𝐶𝐷 = 68° 𝐹𝐶 = 𝐹𝐷
Work out the size of angle 𝑣.
Question 4
Work out the value of 𝑥.
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𝑥 = ..........................
°
Question 5
Work out the size of the angle marked 𝑥 on the diagram drawn below.
𝑥 = ..........................
Question 6
[Edexcel GCSE Nov2010-2F Q19aii Edited]
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°
4
Give a reason why 𝑥 = 88° .
..........................
(1 mark)
Question 7
[KS3 SATs 2004 L3-L5 Paper 2 Q16a]
A pupil measured the angles in a triangle.
She said:
Could she be correct?
[ ] Yes
[ ] No
Question 8
[PMC 2001 Q11] How big is angle 𝑥?
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.......................... °
Question 9
[Edexcel GCSE June2006-1F Q19b]
Work out the size of the angle marked 𝑥 ° .
𝑥 = ..........................
°
(2 marks)
Question 10
[Edexcel GCSE Nov2007-3I Q3aii Edited]
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ABD is a triangle.
ABC is a straight line.
Angle ABD = 70°.
AD = BD.
(a) (ii) Give a reason why 𝑥 = 110°
..........................
(1 mark)
Question 11
[Edexcel GCSE Nov2008-2F Q19b Edited]
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𝑃𝑄𝑅is a straight line.𝑃𝑄 = 𝑄𝑆 = 𝑄𝑅 Angle 𝑆𝑃𝑄 = 25°.
Given that 𝑥 = 130° , work out the size of angle 𝑦.
𝑦 = ..........................
°
(2 marks)
Question 12
[KS3 SATs 2007 L6-L8 Paper 1 Q4a]
The diagram shows three straight lines.
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Work out the size of angle 𝑎.
Give a reason for your answer.
𝑎 = ..........................
°
because ..........................
Question 13
[Edexcel GCSE Nov2010-2F Q19bii]
Give a reason why 𝑦 = 75° .
..........................
(1 mark)
Question 14
[Edexcel GCSE March2013-1F Q18 Edited]
Triangle ABC is a right-angled triangle.
ADB is a straight line.
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DA = DC
Angle BCD = 20°
Work out the size of the angle marked 𝑥.
𝑥 = ..........................
°
(4 marks)
Question 15
[IMC 1999 Q8] In the diagram 𝑃𝑄 = 𝑃𝑅 = 𝑅𝑆.
What is the size of angle 𝑥?
.......................... °
Question 16
In a triangle 𝐴𝐵𝐶, ∠𝐴𝐵𝐶 is a right angle and ∠𝐵𝐶𝐴: ∠𝐵𝐴𝐶 = 3: 2.
What is ∠𝐵𝐴𝐶?
.......................... °
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Question 17
[Junior Kangaroo 2016 Q8] One angle of an isosceles triangle is 30°.
Which of the following could be the difference between the other two angles?
[
[
[
[
[
] 30
] 60
] 70
] 80
] 90
°
°
°
°
°
Question 18
[JMC 2008 Q19] In the diagram on the right, 𝑃𝑇 = 𝑄𝑇 = 𝑇𝑆, 𝑄𝑆 = 𝑆𝑅, ∠𝑃𝑄𝑇 = 20° . What is
the value of 𝑥?
..........................
Question 19
[IMC 2005 Q13] The diagram shows two equilateral triangles. What is the value of 𝑥?
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.......................... °
Question 20
[Edexcel IGCSE(9-1) Jan 2019 2F Q13]
𝐴𝐵𝐷 is an isosceles triangle with 𝐴𝐵 = 𝐷𝐵.𝐷𝐶𝐸is a straight line.
Angle 𝐴𝐵𝐷 = 48Angle 𝐵𝐶𝐸 = 68Reflex angle 𝐴𝐷𝐶 = 243
Work out the size of the angle marked 𝑦.
𝑦 = ..........................
°
(3 marks)
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Answers
Question 1
Angles on a straight line add up to 180°
Question 2
∠𝐶𝐵𝐴 = 42
°
Question 3
𝑣 = 68
°
Question 4
𝑥 = 230
°
Question 5
𝑥 = 30
°
Question 6
"angles in a quadrilateral"
Question 7
No
Question 8
70
°
Question 9
𝑥 = 130
°
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Question 10
"line"
Question 11
𝑦 = 65
°
Question 12
"50" and "line"
Question 13
"angles in a triangle OR angles on a straight line OR angles on a line"
Question 14
𝑥 = 35
°
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Question 15
108
°
Question 16
36
°
Question 17
90°
Question 18
35
Question 19
40
°
Question 20
𝑦 = 17
°
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