WAEC Mathematics 2019 Objective — Question 40

Question 40 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

40. In the diagram above, RT is a tangent to the circle at R, ∠PQR=70°, ∠QRT=52°, ∠QSR=y° and ∠PRQ=x°. Use the diagram to answer this question. Find the value of y°.

A. 70°
B. 60°
C. 52°Correct
D. 18°

Explanation

∠QRT=∠QPR=52° (angles in the alternate segment). ∠QSR=∠QPR=52° (angles in the same segment). Therefore y=∠QSR=52°.

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