which lines are parallel? justify your answer. lines a and b are parallel because their corresponding angles…

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.

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.

Answer

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

There is no information about the relationship between angles formed by lines a and b to determine their parallelism from the given angles related to e and f.

Step3: Analyze angles for lines e and f

The (110^{\circ}) and (80^{\circ}) angles are same - side exterior angles for lines e and f. (110^{\circ}+80^{\circ}=190^{\circ}\neq180^{\circ}), so they are not supplementary. There is no information about corresponding angles for e and f. However, the (110^{\circ}) angles are corresponding angles for lines a and b. Since corresponding angles are congruent, lines a and b are parallel.

Answer:

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