Which postulate or theorem can be used to determine the length of RT

AAS Congruence Theorem

Step-by-step explanation:

The two triangles share the same vertex T. Therefore, both ∆s has the same measure of <T.

From the information made available in the diagram above, it shows that the non-included side of 170, and two given angles, <T and <S in ∆RST are congruent to the non-included side of 170, and two given angles, <T and <U in ∆VUT. Therefore, ∆RST and ∆VUT are both congruent to each other based on the AAS Congruence Theorem.

This invariably implies that the length of RT is congruent to the length of VT.