0580/23 Oct/Nov 2025, Question 21: Cyclic Quadrilaterals
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 4 marks
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The question, in short
A cyclic quadrilateral has angles y°, m°, (m + 10)° and p° with p : m = 2 : 3; use opposite angles adding to 180° to find y.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Opposite angles of a cyclic quadrilateral add to 180°, so p + m = 180
- 2m = 3/(3 + 2) × 180 = 108 (and p = 72)
- 3m + 10 = 118
- 4y = 180 − 118 = 62
Answer62
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Also searched as: 0580/23/O/N/25 · 0580_w25_qp_23 · 0580 w25 23 · question 21.
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