Respuesta :

mathmate
Consider triangles BCA and ADB,
Angle BCA = angle ADB   (given)
Angle CAB (1) = angle DBA (2)  (given)
Side AB = side BA   (common)
=>
Triangles BCA and ADB are congruent (AAS)
=>
Corresponding sides AD and BC of congruent triangles ADB and BCA are congruent, hence
mAD = mBC

Answer:

Angle BCA = angle ADB   (given)

Angle CAB (1) = angle DBA (2)  (given)

Side AB = side BA   (common)

Triangles BCA and ADB are congruent (AAS)

Corresponding sides AD and BC of congruent triangles ADB and BCA are congruent, therefore leaving your answer :

mAD = mBC

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