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WAEC Mathematics 2024 Theory — Question 12

Question 12 of 13 from the West African Examinations Council (WAEC) Mathematics 2024 Theory paper, with the correct answer and a full explanation.

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12. In the diagram, PR is a tangent to the circle centre O at Q. ∠POQ = 56° and PO intersects SO at V such that ∠SVP = 109°. Calculate: (i) ∠TQP; (ii) ∠VQO.

Model answer

(i) ∠TQP = 28° (ii) ∠VQO = 15°

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