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WAEC Mathematics 2006 Question 27

Question 27

Bearings

In the diagram, P, Q and R are three points in a plane such that the bearing of R from Q is 110° and the bearing of Q from P is 050°. Find angle PQR.

Diagram for this question
  1. A.60°
  2. B.70°
  3. C.120°
  4. D.160°
Show the answer and explanation

Answer: C (120°)

Explanation

The north lines are parallel, so the angle between QP and north at Q (measured on the south side) is 50° (alternate angles). ∠PQR = 50° + (180° − 110°) = 50° + 70° = 120°.