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WAEC Mathematics 2018 Objective — Question 19

Question 19 of 50 from the West African Examinations Council (WAEC) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

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In the diagram, PR is a tangent to the circle at Q, QT//RS, ∠SQR = 35° and ∠RSQ = 50°. Find the value of ∠QST.

  • A. 40°
  • B. 65°
  • C. 85°
  • D. 95°Correct

Explanation

Using alternate segment theorem and angle sum in the triangle, ∠QST = 95°.

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