# 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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 Geometry: Proofs in Geometry Solvers Lessons Answers archive Quiz In Depth

 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 DGAnswer by Aswathy(23)   (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