Given the following information, determine which lines, if any, are parallel. State the theorem that justifies your answer. 5. $\angle 1 \cong \angle 6$ 6. $m \angle 7+m \angle 6=180^{\circ}$

Step 1 ：Given: \(\angle 1 \cong \angle 6\) and \(m \angle 7 + m \angle 6 = 180^\circ\)

Step 2 ：Since \(\angle 1 \cong \angle 6\), check if they are alternate interior angles

Step 3 ：If the sum of the measures of angles 1 and 6 is equal to 180 degrees, then they are alternate interior angles and the lines are parallel

Step 4 ：\(2m \angle 1 = 180^\circ\)

Step 5 ：\boxed{\text{The lines are parallel, justified by the Converse of the Alternate Interior Angles Theorem}}