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JAMB Mathematics 2009 Question 26

Question 26

Angles and Polygons

In the figure above, TS // XY and XY = TY, ∠STZ = 34°, ∠TXY = 47°, find the angle marked n.

Diagram for this question
  1. A.47°
  2. B.52°
  3. C.56°
  4. D.99°
Show the answer and explanation

Answer: B (52°)

Explanation

XY = TY, so ∠XTY = 47° and the exterior angle ∠TYZ = 94°. ∠TZY = ∠STZ = 34° (alternate angles). In triangle TYZ, n = 180° − 94° − 34° = 52°.