WAEC Mathematics 2016 Objective — Question 23

Question 23 of 50 from the West African Examinations Council (WAEC) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

23. In the diagram above, PR//SV//WY, TX//QY, ∠PQT=48° and ∠TXW=60°. Find ∠TQU. A. 120° B. 108° C. 72° D. 60°

• A. 120°
• B. 108°
• C. 72°Correct
• D. 60°

Explanation

∠TXW=∠STX=60°(alternate angles); ∠QTU=∠PQT=48°(alternate angles); producing XT to P: ∠QTP=180-(48+60)=72°; ∠TQU=∠QTP=72°(alternate angles).

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