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WAEC Mathematics 2003 Question 15

Question 15

Circle Theorems

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

  1. A.180°
  2. B.150°
  3. C.105°
  4. D.75°
Show the answer and explanation

Answer: C (105°)

Explanation

Opposite angles of a cyclic quadrilateral add to 180°: 180 − 75 = 105°.