Respuesta :

Given

[tex]\measuredangle ABD=\measuredangle CDA,AB=DC[/tex]

Answer

In triangles ABD and ADB

[tex]\begin{gathered} \measuredangle ABD=\measuredangle CDA, \\ AB=DC \\ BD=BD\text{ (common)} \\ \Delta ABD\cong\Delta CDB \end{gathered}[/tex]