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In the diagram, MN//PO, o, o, o and o: Find the value of y

In the diagram, MN//PO, o, o, o and o. Find the value of y
  • A.
    51o
  • B.
    54o
  • C.
    56o
  • D.
    68o
Correct Answer: Option B
Explanation

In (bigtriangleup) NPO + PNO + PNO + o(sum of interior angles of a (bigtriangleup) )
i.e. NPO + 129 + 37 = 180oo (alt.

In (bigtriangleup) MPN
i.e. 112 + 14 + y = 180o
y = 180 – (112 + 14) = 180 – 126 = 54o