We have a triangle ABC of which we know two angle measures and one side length.
The relationships take into account how much we know about this triangle. In this case, we reduce our options to ASA and AAS, as they both refer to two angles and one side.
But we have more information: the name of the vertices can be related to the position of each element.
Then, we can draw our triangle as:
Then, the sice of which we know the length is not between the two known angles, so we can discard ASA.
Then, the only correct option is AAS, as the side is not included between the angles.
Answer: AAS (angle, angle, side).