GCSE · Angles & polygons

Angles in parallel linesExam-style questions

Why corresponding angles are equal, why alternate angles are equal, and why co-interior angles add up to 180° — plus the exact naming examiners accept, and the add-a-parallel-line trick for awkward figures.

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16 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    The diagram shows two parallel lines crossed by a straight line.42°xDiagram NOT accurately drawn

    (a) Write down the size of angle xx.

    (b) Give a reason for your answer.
    Level 1 · 2 marksTry it
  2. 2
    ABAB and CDCD are parallel straight lines. EFEF is a straight line.131°xABCDEFDiagram NOT accurately drawn

    Work out the size of the angle marked xx.

    Give a reason for each stage of your working. (3 marks)
    Level 2 · 3 marksTry it
  3. 3
    The diagram shows two parallel lines crossed by a straight line.57°yDiagram NOT accurately drawn

    (a) Write down the size of the angle marked yy.

    (b) Give a reason for your answer.
    Level 2 · 2 marksTry it
  4. 4
    The diagram shows two parallel lines crossed by a straight line.64°x°Diagram NOT accurately drawn

    Write down the size of the angle marked xx. Give a reason for your answer.
    Level 2 · 2 marksTry it
  5. 5
    The diagram shows two parallel lines crossed by a straight line.138°yDiagram NOT accurately drawn

    Work out the size of angle yy. Give a reason for each step.
    Level 2 · 2 marksTry it

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