Question

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

Explanation:

Step1: Recall parallel - line angle rules

Corresponding angles are equal when lines are parallel. Same - side exterior angles are supplementary when lines are parallel.

Step2: Analyze angles for lines a and b

The 110 - degree angles are corresponding angles for lines a and b. Since they are congruent (both 110 degrees), lines a and b are parallel.

Step3: Analyze angles for lines e and f

The 110 - degree and 80 - degree angles are not in a correct relationship for parallel lines. They are neither corresponding nor supplementary in the correct way for lines e and f to be parallel.

Answer:

Lines a and b are parallel because their corresponding angles are congruent.