Angles worksheet
8 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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2 marks
\(AOB\) is a straight line.
\(OC\) and \(OD\) are two more straight lines drawn from \(O\), both on the same side of \(AOB\), with \(OC\) between \(OA\) and \(OD\).
Angle \(AOC = 32^\circ\) and angle \(COD = 70^\circ\).
Calculate the size of angle \(DOB\).
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2 marks
\(OA\), \(OB\), \(OC\) and \(OD\) are four straight lines drawn from the point \(O\), arranged in that order all the way round \(O\).
Angle \(AOB = 109^\circ\), angle \(BOC = 129^\circ\) and angle \(COD = 67^\circ\).
Work out the size of angle \(DOA\).
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2 marks
Here is a triangle.
Calculate the size of the angle marked \(x\).
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1 mark
The diagram is drawn accurately.
Estimate the size of the angle marked \(x\).
You must not use a protractor.
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2 marks
The diagram shows a right-angled triangle.
Find the size of the angle marked \(x\).
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4 marks
Two straight lines \(AB\) and \(CD\) cross at the point \(O\).
Angle \(AOC = 132^\circ\).
(a)Write down the size of angle \(BOD\), and give a reason for your answer.
(b)Find the size of angle \(AOD\), and give a reason for your answer.
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2 marks
The diagram shows an isosceles triangle.
Calculate the size of the angle marked \(x\).
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2 marks
The diagram shows an isosceles triangle.
Work out the size of the angle marked \(x\).
Answers
- \(78^\circ\)
- \(55^\circ\)
- \(65^\circ\)
- \(50^\circ\) — accept any answer from \(40^\circ\) to \(60^\circ\)
- \(53^\circ\)
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(a) \(BOD = 132^\circ\), because vertically opposite angles are equal
(b) \(AOD = 48^\circ\), because angles on a straight line add up to 180 degrees - \(39^\circ\)
- \(62^\circ\)