How do i do this, I don’t understand how to figure out all the congruent info

Question

*Two column triangle*

Given: line TU is an angle bisector of both angle VTY and angle YUV

Prove: angle V congruent to angle Y

Statements:

1. Line TU is an angle bisector of both angle VTY and angle YUV
2. Angle VTU congruent to angle YTU
4. Line TU congruent to Line TU
5. Triangle VTU congruent to Triangle YTU

Justification:

1. given
2. def of angle bisector
3. def of angle bisector
6. CPCTC

Answer 1

Statements:

1. Line TU is an angle bisector of both angle VTY and angle YUV
2. Angle VTU congruent to angle YTU
3. Angle VUT congruent to angle YUT
4. Line TU congruent to Line TU
5. Triangle VTU congruent to Triangle YTU
6. Angle V congruent to angle Y

Justification:

1. given

2 def of angle bisector

3 def of angle bisector

4 Reflexive property

5 Angle-side-angle (ASA)

6 CPCTE