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WAEC Mathematics 2025 Question 41

Question 41

Circle Theorems

In the diagram, Q, R, S and T are points on the circle with centre O. ∠STR = 37° and ∠QRT = 59°. Find ∠SPR.

Diagram for this question
  1. A.121°
  2. B.96°
  3. C.84°
  4. D.59°
Show the answer and explanation

Answer: B (96°)

Explanation

∠SQR = ∠STR = 37° (same segment). ∠SPR is an exterior angle of triangle PQR, so it equals 37° + 59° = 96°.