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.

Answer 1

Answer: A

Explanation:

Answer 2

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

Explanation:

The corresponding angle postulate states that Two lines are said to be parallel if when cut by a transversal, their corresponding angles are congruent.

Therefore given line a and line b which is cut by transversal e, both corresponding angles are equal to 110 (congruent), therefore according to the corresponding angle postulate, we can say that line a and line b are parallel to each other.