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0580/13 May/Jun 2022, Question 9: Angles in a Quadrilateral

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 2 marks

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The question, in short

Quadrilateral PQRS has angles QRS = 73°, RQP = 129° and QPS = 75°, with RS extended to T. Find angle PST.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 2 marks

  1. 1Angles in a quadrilateral add to 360°: PSR = 360 − (73 + 129 + 75) = 83°
  2. 2PST = 180 − 83 = 97° (angles on a straight line)

Answer97

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