Question

Please help

Answer 1

The given info gives you two pairs of congruent angles.
Side RS is the included side. It is a side of both triangles, and it is congruent to itself. Since you now have side RS congruent to side RS, you can use ASA.

Answer 2

Answer:

ASA  is a possible  congruent theorem that could be used to prove the triangles congruent.

Step-by-step explanation:

Given

$\angle TRS=\angle URS$

$\angle TSR=\angle USR$

Proof: In triangle STR and SUR

1.Statement: $\angle TSR=\angle USR$

Reason: Given

2.Statement: $\angle TRS= \angle URS$

Reason: Given

3.Statement: RS=RS

Reason: Reflexive property of equality.

4.Statement: $\triangle STR \cong \triangle SUR$

Reason: ASA ( Angle-Side-Angle) property of congruence.

Hence, the triangle are congruent by the ASA congruence theorem .