0580/21 May/Jun 2024, Question 13: Cyclic Quadrilaterals
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
A cyclic quadrilateral has angles p°, 4m°, (4m + 38)° and 5m°. Find the value of p.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Opposite angles of a cyclic quadrilateral add to 180°
- 24m + 5m = 180 → 9m = 180 → m = 20
- 3p + (4 × 20 + 38) = 180
- 4p = 180 − 118 = 62
Answer62
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Also searched as: 0580/21/M/J/24 · 0580_s24_qp_21 · 0580 s24 21 · question 13.
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