Which diagram shows lines that must be parallel lines cut by a transversal?

Lines s and r are intersected by line m. At the intersection of lines s and m, the left angle is 89 degrees and right angle is 89 degrees.
Lines s and r are intersected by line m. At the intersection of lines r and m, the top angle is 91 degrees. At the intersection of lines s and m, the top angle is 91 degrees.
Lines s and r are intersected by line m. At the intersection of lines r and m, the right angle is 91 degrees. At the intersection of lines s and m, the left angle is 89 degrees.
Lines s and r are intersected by line m. At the intersection of lines s and m, the left angle is 89 degrees and the top angle is 91 degrees.

Lines s and r are intersected by line m. At the intersection of lines r and m, the top angle is 91 degrees. At the intersection of lines s and m, the top angle is 91 degrees.

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The graph given at the end models the situation.
At the intersection point, the left and right angles, along with the top and bottom are supplementary, that is, the sum of their measures is of 180º, which removes the first option.
The top angles of the two lines, r and m, are congruent, that is, they have the same measure, and thus, the second option is correct.
In the third option, it does not have them as congruent, thus, it is not the answer.
In the fourth option, the top angle has both left and right components, so the option cannot be stated.

Thus, the answer is:

Lines s and r are intersected by line m. At the intersection of lines r and m, the top angle is 91 degrees. At the intersection of lines s and m, the top angle is 91 degrees.

A similar problem is given at https://brainly.com/question/16742265