(C) Show that bisectors of alternate interior angles are parallel, if two parallels are cut by a transversal.
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To prove : EG //CD
PROOF : since AB//CD AND T IS A
TRAVERSAL
WE
HAVE
<AEF = <EFD (ALT.INT.<S)
=1/2<AEF = 1/2<EFD
= <GEF = <EFG
But , these are alternate interior angles
formed when the transversal EF cuts
EG and FH.
Therfore : EG//FH.
Hence proved......
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