Question

I feel it could be AAS since both angles could be alternate interior but it could also be SAS so could someone help please?

Answer 1

Answer: D) Side-Angle-Side  (SAS)

Check out the diagram below. Note the color coding to see how the angles and sides correspond to the given information. We aren't given RT = RT, but we use the reflexive property in this case. The angles are between the sides so we use SAS.

We don't have enough information to determine anything about the other angles, so we cannot use AAS or ASA. Also, recall that SSA is not a valid congruence theorem. Luckily the angle is between the sides so we don't have to worry about SSA.