Which piece of additional information can be used to prove that △rst ~ △vut? rt =st 3st=ut angle r= angle v angle v= angle u

  ∠R ≅ ∠V

- ∠R≅ ∠ V is the piece of additional information can be used to prove that △RST ~ △VUT.

Explanation:-

Given:- Two triangles △RST and △VUT joined by vertex T such that RV and US are two line segments.

The additional information is ∠ R≅ ∠ V which can be used to prove that △RST ~ △VUT.

Let we assume that it is given ∠R≅ ∠ V then

Proof :- In △RST and △VUT

∠RTS≅∠VTU   [∵vertically opposite angles are congruent]

∠R≅∠V   [given]

⇒△RST ~ △VUT by AA similarity criteria.