Which lines are parallel if m<2 = m<8? Justify your answer.

Answer 1

To determine which lines are parallel, we need to examine the given information and apply the properties of parallel lines.

If m<2 = m<8, it means that the measure of angle 2 is equal to the measure of angle 8.

According to the Alternate Interior Angles Theorem, when two parallel lines are intersected by a transversal, the alternate interior angles are congruent. So, if angle 2 and angle 8 are equal, it indicates that lines 2 and 8 are parallel.

Therefore, lines 2 and 8 are parallel based on the given information.