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 :

Given,

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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