Q. Let ABC be a Triangle. Let D,E,F be points respectively on the segments BC, CA, AB such that AD, BE, CF concur at the point K. Suppose BD/DC=BF/FA and Angle ADB=Angle AFC..prove that angle ABE=Angle CAD. (Regional Mathematics Olympiad-2011 dated 4-12-2011 Question No.1)
Q. Let ABC be a Triangle. Let D,E,F be points respectively on the segments BC, CA, AB such that AD, BE, CF concur at the point K. Suppose BD/DC=BF/FA and Angle ADB=Angle AFC..prove that angle ABE=Angle CAD. (Regional Mathematics Olympiad-2011 dated 4-12-2011 Question No.1)











