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:
[tex]180-75=105[/tex]
3. Then m∠2 measures 105 degrees.
