In the diagram, AB= DC and AC= DB. Why does DBC = ACB?

Answer:
AB = DC Given
AC = DB Given
BC = BC Reflexive property
△ACB = △DBC SSS
m∠DBC = m∠ACB CPCTC
Step-by-step explanation:
Reflexive property basically means that something is congruent to itself
SSS means that if all 3 sides of 2 triangles are congruent, the triangles are congruent
CPCTC means C.orresponding P.arts of C.ongruent T.riangles are C.ongruent
meaning because the triangles are congruent, all the corresponding sides and angles are also congruent