Q. 124.8( 5 Votes )

In Fig. 9.41, if AB || DE and BD || FG such that FGH = 125° and B = 55°, find a and y.

Answer :


AB || DE and,

BD || FG

FGH + FGE = 180o (Linear pair)

125o + y = 180o

y = 55o

ABC = BDE (Alternate angles)

BDF = EFG = 55o (Alternate angles)

EFG + FEG = 125o (By exterior angle theorem)

55o + FEG = 125o

FEG = x = 70o

Thus, x = 70o and y = 55o.

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