which rule explains why these triangles are similar? sss sas aa none of the above; the triangles cannot be…

Brief Explanations:

We see two pairs of equal angles. In $\triangle UTS$ and $\triangle IHG$, $\angle T = \angle G=42^{\circ}$ and the other marked angles are equal. By the AA (Angle - Angle) similarity criterion, if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

Answer:

C. AA