Question

which lines are parallel? justify your answer. lines a and b are parallel because their alternate exterior angles are congruent lines a and b are parallel because their same side exterior angles are supplementary. lines e and f are parallel because their alternate exterior angles are congruent lines e and f are parallel because their same side exterior angles are congruent

Explanation:

Step1: Identify angle - pair relationship

The 75 - degree and 115 - degree angles are same - side exterior angles for lines e and f.

Step2: Apply parallel - line theorem

Same - side exterior angles are supplementary (75 + 115=190) for parallel lines.

Answer:

Lines e and f are parallel because their same side exterior angles are supplementary.