Question

in the figure below, angle 1 is congruent to angle 2. what reason can be used to prove that m is parallel to n? if a pair of vertical angles is congruent, then the lines forming them are parallel. if a pair of angles is congruent and the sum of their measures is 180°, then the lines forming the angles are parallel. if a pair of angles formed by a transversal is corresponding and supplementary, then the two lines are parallel. if two lines are intersected by a transversal, and a pair of corresponding angles is congruent, then the two lines are parallel.

Explanation:

Angle 1 and Angle 2 are corresponding angles formed by a transversal intersecting lines m and n. The parallel - line theorem states that if two lines are intersected by a transversal and a pair of corresponding angles is congruent, then the two lines are parallel.

Answer:

If two lines are intersected by a transversal, and a pair of corresponding angles is congruent, then the two lines are parallel.