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PQRS is a cyclic quadrilateral. If ∠QPS = 75°, what is the size of ∠QRS?

Mathematics
WAEC 2003

PQRS is a cyclic quadrilateral. If ∠QPS = 75°, what is the size of ∠QRS?

  • A. 180o
  • B. 150o
  • C. 105o
  • D. 75o
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Correct Answer: Option C
Explanation

< QPS = 75°

< QRS = 180° - 75° = 105° (opposite angles of a cyclic quadrilateral)

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