passwella.
Menu

WAEC Mathematics 2012 Question 36

Question 36

Angles and Polygons

In the diagram, MN//PO, ∠PMN = 112°, ∠PNO = 129°, ∠NOP = 37° and ∠MPN = y. Find the value of y.

Diagram for this question
  1. A.51°
  2. B.54°
  3. C.56°
  4. D.68°
Show the answer and explanation

Answer: B (54°)

Explanation

MN ∥ PO, so ∠MPO = 180° − 112° = 68°. In ΔPNO, ∠NPO = 180° − 129° − 37° = 14°. y = 68° − 14° = 54°.