The same-side interior angle with angle 6 is angle 3 and the correct option is B.
Same-side interior angles are a pair of angles that are on the same side of the transversal and inside the two parallel lines.
Parallel lines are two lines that never intersect.
In the diagram, lines L and M are parallel, and transversal N intersects them. Angles 3 and 6 are same-side interior angles because they are on the same side of transversal N and inside parallel lines L and M.
Another way to identify same-side interior angles is to look for pairs of angles that are supplementary, meaning they add up to 180 degrees. Supplementary angles are always same-side interior angles.
In the diagram, we can see that angles 3 and 6 are supplementary because they add up to 180 degrees:
angle 3 + angle 6 = 180 degrees
Therefore, the same-side interior angle with angle 6 is angle 3 and the correct option is B.