The lines that must be parallel are lines r and s. The correct option is A) r and s
<h3>Parallel lines </h3>From the question, we are to determine the lines that must be parallel to satisfy the given condition
The given condition is
∠5 ≅∠13
In the given diagram,
∠5 and ∠13 are corresponding angles
Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.
In the diagram,
The transversal is line p which intersects lines r and s.
Therefore,
Lines r and s must be parallel lines
Hence, the lines that must be parallel are lines r and s. The correct option is A) r and s
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