Step-by-step explanation:
Given: ∠B ≅ ∠D (angle)
Statement:
∠DCA ≅ ∠BAC (angle)
Reason: alternate interior angles are congruent
Statement:
AC ≅ AC (side)
AC is common to triangle ABC and triangle CDA
Reason: Reflexive property
Statement:
ΔABC ≅ ΔCDA
The triangles are congruent by angle-angle-side
Reason: AAS theorem