2018Q2(c)(iii)Circles

NumericalModerate1.5 marks

2(c)

PQRS is a cyclic quadrilateral. Given ∠QPS = 73°, ∠PQS = 55° and ∠PSR = 82°, calculate:

Figure for this question

∠PRQ

Topic: Circle theorems

Previous-year question practice database

Answer

Exam answer

∠PRQ = ∠PSQ = 52o

Explanation

∠PSQ = 180o – (73o + 55o ) = 52o ∴∠PRQ = ∠PSQ = 52o

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