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which lines are parallel? justify your answer lines a and b are paralle…

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 rules

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

Step2: Analyze given angles

The 110 - degree angles are corresponding angles for lines a and b. But the 110 - degree and 80 - degree angles for lines e and f are neither equal nor supplementary as 110 + 80≠180.

Answer:

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