In the diagram, MN//PO, < PMN = 112º, < PNO = 129º, < NOP = 37º and < MPN = yo. Find the value of y
Attached Figure / Diagram
A
51o
B
54o
C
56o
D
68o
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #36821)