how do you solve this

Answer:
the first one ASA or AAS
Step-by-step explanation:
There is no AAA congruency
The are no right angle marked on diagram so, no HL
There are vertical angles and the parallel lines create congruent Alternate Interior Angles
Answer:
II and III
Step-by-step explanation:
In ΔSRT & ΔVUT
∠STR = ∠VTU {Vertically opposite angles}
RT = UT {Given}
∠SRT = ∠VUT {UV //RS and UR is transversal; alternate interior angles}
ΔSRT ≅ ΔVUT {A S A congruent}
In ΔSRT & ΔVUT
∠RST = ∠UVT {UV //RS and SV is transversal; alternate interior angles}
∠SRT = ∠VUT {UV //RS and UR is transversal; alternate interior angles}
RT = UT {given}
ΔSRT ≅ ΔVUT {A A S congruent}