Find the measure of < 2. justify your answer. a. m< 2 =75 because same-side interior angles of parallel lines are congruent. b. m< 2=105 because same-side interior angles of parallel lines are supplementary. c. m< 2=75 because same-side interior angles of parallel lines are supplementary. d. m< 2 =105 because same-side interior angles of parallel lines are congruent.

The answer is: B. m∠2=105 because same-side interior angles of parallel lines are supplementary.

The explanation is shown below:

1. By definition, when two parallel lines are cut by a transversal, which is another line. And the same-side interior angles of parallel lines are supplementary.

3. The angle that measures 75 degrees and the angle m∠2 are supplementary, which means that the sum of both are 180 degrees.

4. Therefore, you have the following result:

3. Then m∠2 measures 105 degrees.