WAEC Mathematics 2015 Objective — Question 18

Question 18 of 50 from the West African Examinations Council (WAEC) Mathematics 2015 Objective paper, with the correct answer and a full explanation.

In the diagram, PQ//RT, QR//SU, ∠PQR = 48° and ∠RTS = x°. Find the value of x°.

A. 134°
B. 132°Correct
C. 96°
D. 48°

Explanation

Since QR is a transversal to the parallel lines PQ and TR, ∠QRT = 48° (alternate angles). Since RT is a transversal to QR and SU, angle relations give ∠RTU = 48°, so ∠RTS = 180−48 = 132°.

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