WAEC Mathematics 2019 Objective — Question 41

Question 41 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

41. 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. Calculate the value of x°.

A. 70°
B. 58°Correct
C. 55°
D. 48°

Explanation

In triangle PQR: ∠QPR+∠PQR+∠PRQ=180° (angle sum of a triangle) ⇒ 52°+70°+x°=180° ⇒ x°=58°.

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