WAEC Mathematics 2024 Question 38

Question 38

Triangles and Quadrilaterals

Find the value of x in the diagram.

Diagram for this question
  1. A.60°
  2. B.65°
  3. C.120°
  4. D.125°
Show the answer and explanation

Answer: C (120°)

Explanation

In triangle NMP, ∠M = 180° − 65° − 55° = 60°. QR // MP, so ∠NQR = 60° (corresponding angles), and x = 180° − 60° = 120° (angles on a straight line).