Question

same - side interior
alternate interior
corresponding
cannot be proved parallel
which could be used to prove the lines are parallel?

Explanation:

Step1: Recall parallel - line postulates

If same - side interior angles are supplementary, alternate interior angles are congruent, or corresponding angles are congruent, then the lines are parallel.

Step2: Analyze the given situation

Since no information about angle measures (congruence or supplementary relationships) is given in the figure, we cannot prove the lines are parallel.

Answer:

Cannot be proved parallel