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WAEC Mathematics 1998 Question 43

Question 43

Triangles and Quadrilaterals

In Δ PQR, T is a point on QR such that ∠QPT = 39° and ∠PTR = 83°. Calculate ∠PQT.

  1. A.34°
  2. B.44°
  3. C.45°
  4. D.97°
  5. E.107°.
Show the answer and explanation

Answer: B (44°)

Explanation

∠PTR is an exterior angle of triangle PQT, so it equals ∠QPT + ∠PQT: ∠PQT = 83 − 39 = 44°.