From the diagram, we get that
[tex]\measuredangle ABD\cong\measuredangle ADB.[/tex]
By the reflexive property of congruence, we know that:
[tex]\measuredangle A\cong\measuredangle A.[/tex]
Therefore, by the Angle-Angle criterion:
[tex]\Delta ABC\sim\Delta ADB.[/tex]
Answer:
[tex]\Delta ADB.[/tex]
