Plz answer need help with math question

Step-by-step explanation:

These different line relationships are only possible if two parallel lines are cut by a transversal. Lines 2 and 4 and 7 and 6 are corresponding angles. Because they are congruent, the line must be parallel. If the line isn't parallel, these angles would not be congruent. 1 and 7 are called alternate exterior angles. Again, the lines must be parallel, since these angles wouldn't be congruent if the lines weren't parallel.