WAEC Mathematics 2024 Objective — Question 45

Question 45 of 50 from the West African Examinations Council (WAEC) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

45. In the diagram, TU is a tangent to the circle SPQR at P. If ∠PTS = 44° and ∠SQP = 35°, find ∠PST.

• A. 101°Correct
• B. 125°
• C. 130°
• D. 135°

Explanation

∠SPT = 35° (angle in alternate segment); in ΔPST: 35°+44°+∠PST = 180° → ∠PST = 101°.

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