Q. 34.3( 392 Votes )

In Fig. 6.30, if

Answer :

It is given in the question that:

AB || CD

EF perpendicular CD

GED = 126o


Now, according to the question,


FED = 90o (EF perpendicular CD)


Now,


AGE = GED (Since, AB parallel CD and GE is transversal, hence alternate interior angles)


Therefore,


∠AGE = 126o


And,


GEF = GED - FED


GEF = 126o – 90o


∠GEF = 36o


Now,


FGE + AGE = 180o (Linear pair)


FGE = 180o – 126o


∠FGE = 54o

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