Answer:
Yes, Triangles RST and VUT are congruent by ASA
Step-by-step explanation:
we know that
If two angles in one triangle are congruent to two angles of a second triangle, and also if the included sides are congruent, then the triangles are congruent by ASA Postulate
In this problem
m∠RST≅m∠VUT ----> (right angle)
m∠RTSCm∠VTU ---> by vertical angles
ST≅UT----> given problem
therefore
RST≅VUT
Triangles RST and VUT are congruent by ASA
