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WAEC Mathematics 2016 Question 23

Question 23

Triangles and Quadrilaterals

In the diagram, PR/SV/WY, TX/QY, ∠PQT = 48° and ∠TXW = 60°. Find ∠TQU.

Diagram for this question
  1. A.120°
  2. B.108°
  3. C.72°
  4. D.60°
Show the answer and explanation

Answer: C (72°)

Explanation

Since QY//TX and PR//WY, ∠PQU = 180° − 60° = 120°. Then ∠TQU = 120° − 48° = 72°.