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In the diagram, MN//PO, < PMN = 112º, < PNO = 129º, < NOP =...

Mathematics
WAEC 2012

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

  • A. 51o
  • B. 54o
  • C. 56o
  • D. 68o
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Correct Answer: Option B
Explanation

in the diagram;

x = 180º - ( 129 + 37)º = 14º ( sum of angles in a △)

z = x = 14º ( alternate angles are equal )

y = 180º - ( 112 + z )º = 14º ( sum of angles in a △)

y = 180º - ( 112 + 14)º = 54º


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