Question

In the given figure, AB || CD and XY is a transversal line intersects AB and CD at E and G respectively. If EF and GF are the bisectors of ∠BEG and ∠DGE respectively, then the measure of ∠EFG is equal to


​

Answer 1

Answer:

let bef= a

as AB //CD

SoDfe = 180 - a

EG is bisector of BEF

So FEG = a / 2 ,

And FG is bisector of DFE

So GFE=180-a)/2=90-a/2

In FGE

FGE= 180 - FEG - GFE

= 180-a/290 + a/2

= 90

Step-by-step explanation:

hope it helps you