Final answer:
Without sufficient information, we cannot conclude that triangle ABC is congruent to triangle DBC solely based on angle measures. More information is required to satisfy congruence criteria.
Step-by-step explanation:
To determine whether triangle ABC is congruent to triangle DBC from the given angle measures, one would typically need more information than just the angle measures. Without additional data about the sides or angles, we cannot simply conclude congruence using the given angle measures alone. In triangle congruence, certain criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles) must be satisfied to establish congruence between triangles. Merely having some angle measurements would not be sufficient unless they help in satisfying one of these criteria.