0580/11 May/Jun 2026, Question 10: Angles in Parallel Lines
Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 2 marks
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The question, in short
Using a diagram of two parallel lines crossed by two straight lines, give the geometrical reason for x = 67 and for y = 81.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 2 marks
- 1x and 67° are on opposite sides of the same transversal, between the parallel lines: alternate angles are equal
- 2y and 81° are in the same position at each parallel line on the other transversal: corresponding angles are equal
Answerx = 67 because alternate angles are equal; y = 81 because corresponding angles are equal
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