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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