Use the given information to determine which of the following relationships can be proved and why.
Answer:
see below
Step-by-step explanation:
Given only two congruent angles, you can only prove similarity (by AA). You need to have at least one pair of corresponding sides be congruent before you can prove the triangles congruent.
For the AA criteria, we conclude that the triangles are similar, so the correct option is A.
We can see two triangles, and we know that the triangles have two similar angles.
And because the sum of the interior angles of a triangle is always 180°, if the two of the interior angles are equal, then all the 3 interior angles are equal.
So the triangles meet the AA criteria (angle-angle).
This does not mean that the triangles are congruent, because the dimensions could be different, we only know that the interior angles are equal. This only means that the triangles are similar (same shape, but may have different size).
So the correct option is B
If you want to learn more about similar triangles, you can read:
https://brainly.com/question/14285697