Question

are the following lines parallel?
there is not enough information to determine or not congruent
yes - alternate interior angles are congruent
yes - alternate exterior angles are congruent
yes - corresponding angles are congruent
yes - consecutive interior angles are supplementary

Explanation:

Step1: Analyze Alternate Interior Angles

Alternate interior angles are not congruent ($62^{\circ}
eq128^{\circ}$)

Step2: Analyze Alternate Exterior Angles

Alternate exterior angles are not congruent (no relevant angles shown for this property in a way to confirm)

Step3: Analyze Corresponding Angles

Corresponding angles are not congruent (no clear corresponding angles shown in a way to confirm congruence)

Step4: Analyze Consecutive Interior Angles

Consecutive interior angles are not supplementary ($62 + 128=190
eq180$)

Since none of the angle - based parallel - line criteria (alternate interior, alternate exterior, corresponding angles congruent; consecutive interior angles supplementary) are met based on the given angles, there is not enough information (as we can't be sure if these are the only relevant angles or if there are other un - shown elements that could affect parallelism) to confirm the lines are parallel.

Answer:

There is not enough information to determine or not congruent