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WAEC Mathematics 2024 Theory — Question 13

Question 13 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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13. (a) In the diagram, ABT is a circle centre O. PQ is a tangent to the circle at T and ABC is a straight line. TC bisects ∠BTQ, ∠BAT = 44° and ∠PTA = 60°. Find ∠ACT. (b) Simplify: (2n² - 3n - 2)/(2n² + 3n + 1) × (n² - 1)/(n² - 4)

Model answer

(a) ∠ACT = 38° (b) (n - 1)/(n + 2)

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