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WAEC - Mathematics (2012 - No. 44)

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

51o
54o
56o
68o

Paskaidrojums

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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