Answer:
<T ≅ <A
Explanation:
The AAS Postulate states that two triangles are congruent of the two angles and a mon-included side of one triangle are congruent to the corresponding two angles and mon-included side of the other.
From the diagram given, we know that
Non-included side UC in ∆TUC is congruent to non-included side UC in ∆AUC.
Also, we know that <U in ∆TUC is congruent to <U in ∆AUC (vertical angles are congruent)
We are not given if <T is congruent to <A or not. Therefore, the additional information that is required to know that both triangles are congruent by the AAS Postulate would be:
<T ≅ <A