Question

Find the measure of <2. Justify your answer.

Answer 1

Answer:

m<2=105

Step-by-step explanation:

I took the test and got a 100%

Answer 2

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:

$180-75=105$

3. Then m∠2 measures 105 degrees.