Final answer:
Given that m7 + m11 = 180, it's concluded that the corresponding lines are parallel because this matches the Consecutive Interior Angles Theorem, which states consecutive interior angles sum to 180 degrees if the lines are parallel.
Step-by-step explanation:
If the measure of angle 7 (m7) plus the measure of angle 11 (m11) equals 180 degrees, we can conclude that the lines corresponding to these angles are parallel given that this scenario describes consecutive interior angles. This justification is based on the Consecutive Interior Angles Theorem which states that if a transversal crosses two parallel lines, each pair of consecutive interior angles adds up to 180 degrees. Thus, if we know m7 + m11 = 180, it logically follows that the lines that angle 7 and angle 11 form with the transversal must be parallel.