Final answer:
Without a diagram or additional context, we cannot determine which lines are parallel from the options provided simply based on the statement m4 equals m5. However, the concept that lines cut by a transversal with equal corresponding angles are parallel is an essential geometric principle.
Step-by-step explanation:
The question primarily relates to finding parallel lines based on the equality of corresponding angles. According to the principles of geometry, two lines are parallel if the corresponding angles formed by a transversal cutting through them are equal. If m4 equals m5, these are the corresponding angles of the transversal, which implies that the lines cut by the transversal would be parallel.
Without further information or a diagram, it's impossible to definitively state which line pairs (Line AB and Line CD, etc.) are parallel simply by stating that m4 equals m5. However, it's essential to recognize the general rule: if two lines are cut by a transversal and the interior angles on the same side of the transversal are equal, the lines are parallel. This concept is a core topic covered in middle school geometry and serves as a fundamental property that students must understand when analyzing shapes and solving problems related to angles and lines.