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WAEC Mathematics 2002 Question 1

Question 1

Triangles and Quadrilaterals

In the diagram, ∠PQU = 36°, ∠QRT = 29°, PQ||RS and UQ||RT. Find ∠PQR.

Diagram for this question
  1. A.94°
  2. B.65°
  3. C.61°
  4. D.54°
Show the answer and explanation

Answer: B (65°)

Explanation

∠PQR = ∠QRS (alternate angles, PQ ∥ RS). ∠TRS = ∠PQU = 36° (the arms are parallel), so ∠QRS = 29° + 36° = 65°.