I need help solving a 2 column proof.

Question

I have a picture of the figure here: http://imgur.com/Z5hafxF

So here is the situation: I have to give the statement and the reason to end up with the Proof. It's a 2 column proof and i'm supposed to prove using the converse of the Alternate Interior Theorem. 

Given:

∠RTU ≅∠VWY

Proof:

line *ST* is congruent to line *VX*

I dunno the answer so your answer will be greatly appreciated!!! :D

Answer 1

<RTU≅<VWY   given

<STW≅<RTU   vertical angles are congruent

<TWX≅<VWY  vertical angles are congruent

if <STW≅<RTU and <RTU≅<VWY, then <STW≅<VWY  transitive property

if <STW≅<VWY and <VWY≅<TWX, then <STW≅<TWX  transitive property

therefore line ST ll line VX  if 2 lines are cut by a transversal and the alternate interior angles are congruent then the lines are parallel