Given: m∠ACB = m∠ABC
Prove: ∠XCA = ∠YBA

Answer:
Given that <ACB is congruent to <ABC we can infer that the triangle formed is an isosceles triangle. If B and C are both congruent and the distance from c and x and b and y are also congruent than the angles are congruent.
Step-by-step explanation: