0580/22 Oct/Nov 2022, Question 15: Cyclic Quadrilaterals
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 1 mark
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The question, in short
A quadrilateral has interior angles 101°, 95°, 79° and 85° in order; give a geometrical reason why it is cyclic.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 1 mark
- 1101 + 79 = 180 and 95 + 85 = 180
- 2Opposite angles add up to 180°, so the quadrilateral is cyclic
AnswerOpposite angles add up to 180
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