Answer:
Given - Triangle ABC
AD bisects BC ( I.e AB = AD)
To prove - Angle BAD = Angle CAD
Solution -
AB = AD (given)
Angle B = Angle C ( angle opposite to equal sides are also equal )
In a triangle BAD and CAD
AD = AD ( common)
angle B = Angle C ( prove above)
AB = AD = ( given )
By SAS congruence Triangle ABC is congruent to Triangle ABD
by CPCT BAD = CAD
hence, Proved