4024/11 Oct/Nov 2025, Question 4: Angles in Parallel Lines
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Using a diagram of three horizontal parallel lines crossed by two sloping parallel lines, with angles 112°, p° and q° marked, find p and q and justify each with a geometrical reason.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
Find the value of p and give a geometrical reason for it.
- 1p = 180 − 112 = 68
- 2Co-interior angles sum to 180°
Answer68 Co-interior angles sum to 180
Part (b) · 2 marks
Find the value of q and give a geometrical reason for it.
- 1q and p sit in the same position on two parallel lines.
- 2Corresponding angles are equal, so q = p.
- 3q = 68 Corresponding angles are equal
Answer68 Corresponding angles are equal
Stuck on a step? Read the free lesson: Angles in Parallel Lines
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Also searched as: 4024/11/O/N/25 · 4024_w25_qp_11 · 4024 w25 11 · question 4.
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