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WAEC Mathematics 2010 Question 11

Question 11

Angles and Polygons

In the diagram, QR//ST, |PQ| = |PR| and ∠PST = 75°. Find the value of y.

Diagram for this question
  1. A.105°
  2. B.110°
  3. C.130°
  4. D.150°
Show the answer and explanation

Answer: A (105°)

Explanation

QR ∥ ST gives ∠PQR = 75° (corresponding). PQ = PR, so ∠PRQ = 75°. y is on a straight line with ∠PRQ: y = 180° − 75° = 105°.