How do i prove lines are parallel

You can prove lines parallel by many ways.  

1. When corresponding angles are congruent
2. When Alternate Interior angles are congruent
3. When Alternate exterior angles are congruent
4. When interior angles on the same side of transferal are supplementary 
5. When exterior angles on the same side of transferal are supplementary

If the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. If the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.

Hope this helps, Danielle215!