Final answer:
The correct answer for both parts of the question is 'A. Congruent Angles have equal measures,' since congruent angles are angles that have the same measure.
Step-by-step explanation:
The question involves the concept of congruent angles and possibly the theorems pertaining to alternate interior angles or alternate exterior angles, depending on the context in which the angles have been presented. When angles are said to be congruent, it implies they have equal measures. This is captured by statement A, 'Congruent Angles have equal measures.' Therefore, the proper matches for the statements given in the question would be:
- m∠CAB =m∠ACD: A. Congruent Angles have equal measures
- m∠BCA = m∠CAD: A. Congruent Angles have equal measures
Without additional context or a diagram illustrating the position of the angles, we cannot definitively assign the Alternate Interior Angles Theorem or Alternate Exterior Angles Theorem. These theorems apply to angles created when a transversal crosses two parallel lines, which isn't clearly indicated in the problem.
Therefore, our answer selection based on the information given will be 'A. Congruent Angles have equal measures' for both parts of the question.