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WAEC Mathematics 2025 Question 37

Question 37

Triangles and Quadrilaterals

In the diagram, ∠PMQ = 34° and ∠NQM = 28°. Find ∠QTN.

Diagram for this question
  1. A.152°
  2. B.146°
  3. C.124°
  4. D.118°
Show the answer and explanation

Answer: D (118°)

Explanation

∠PNT = ∠PMT = 34° (angles in the same segment). In triangle QTN, ∠QTN = 180° − 28° − 34° = 118°.