Final answer:
The question refers to a geometric proof involving angles with concepts such as corresponding angles, vertical angles, linear pairs, and the measures of angles.
Step-by-step explanation:
The question seems to be pertaining to a proof involving angles, possibly in the context of geometry related to parallel lines cut by a transversal, vertical angles, and linear pairs. The information provided is disjointed, but it implies that choice A references corresponding angles being congruent when parallel lines are cut by a transversal. Choice B mentions the Vertical Angles Theorem, which states that vertical angles are congruent. Option C speaks to the concept of supplementary angles formed by a linear pair (two adjacent angles that form a straight line), stating that angles 26 and 25 are supplementary according to the Linear Pair Theorem. Lastly, option D seems incomplete, merely stating a fact that the measure of angle m2 is 180 degrees, which could relate to it being a straight angle or part of a linear pair. Without further context or a diagram, it is not possible to confidently proceed with the proof. However, each of these options relates to foundational concepts in geometry that are often used in proofs.