SOLUTION: Given: Line AB is parallel to Line CD; Ray BF bisects Angle ABE; Ray DG bisects Angle CDB PROVE: Line BF is parallel to Line DG

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Question 467155: Given: Line AB is parallel to Line CD; Ray BF bisects Angle ABE; Ray DG bisects Angle CDB
PROVE: Line BF is parallel to Line DG
Answer by Aswathy(23) About Me  (Show Source):
You can put this solution on YOUR website!
As, AB is parallel to CD.Then by corresponding angles axiom,
ABE=CDB
as,FB & GD are angle bisectors
So,1/2ABE=1/2CDB
So,FBE=GDB
Now by converse of corresponding angles axiom,
BF is parallel to GD