0580/11 May/Jun 2025, Question 18: Angles in Parallel Lines
Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 6 marks
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The question, in short
Using a diagram of two parallel lines cut by two intersecting transversals, find angles x, y and z, giving geometrical reasons where required.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
Find x, giving a geometrical reason for the value.
- 1x = 50°
- 2Alternate angles are equal
Answer50, alternate angles
Part (b) · 2 marks
Find y, giving a geometrical reason for the value.
- 1y = 110°
- 2Corresponding angles are equal
Answer110, corresponding angles
Part (c) · 2 marks
Find z.
- 1Angle on the straight line next to 110°: 180 − 110 = 70°
- 2z = 180 − 70 − 50 = 60° (angles in a triangle)
Answer60
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Also searched as: 0580/11/M/J/25 · 0580_s25_qp_11 · 0580 s25 11 · question 18.
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