Final answer:
Assuming standard geometric conventions and parallel lines, if <2 equals <6>, then <2 would also equal <5>, corresponding to Option A, which makes it the likely correct answer.
Step-by-step explanation:
When two lines are intersected by a third line, various angle relationships are formed. If <2> equals <6>, this implies a relationship between the angles affected by the intersecting line. Based on the given options and assuming the standard naming conventions for geometry (where angles are numbered such that corresponding, alternate interior, and vertical angles are involved), we can infer the following:
If <2 equals <6>, they are likely corresponding angles which are congruent when the lines are parallel, intersected by a transversal.
Option C suggests that <2 is equal to <8>, which is true for vertical angles, but without more context, we cannot assume the relationship of angles <2 and <8>.
Options A and B correspond to alternate interior angles, and if <2 equals <6>, then <2 would be congruent to <5. Option B suggests that <2 is complementary to <5>, but this can only be true if both angles sum to 90 degrees, which is not mentioned here.
Option D states that <2 is supplementary to <8> which is true for consecutive interior angles on parallel lines intersected by a transversal, provided they sum up to 180 degrees.
Hence, without additional details regarding the parallelism of the lines or a diagram, providing a definitive answer is challenging. However, assuming standard naming conventions and that <2 and <6> are corresponding angles on parallel lines, then <2 equals <5> would be true, making Option A correct.