Question

given: ∠2 ≅ ∠4
which lines must be parallel?
a r and s
b p and q
c p and r
d q and s
e cannot be determined

Explanation:

Step1: Recall the property of parallel lines

If two lines are cut by a transversal and the corresponding angles are congruent, then the two lines are parallel.

Step2: Analyze the given angles

\(\angle2\) and \(\angle4\) are corresponding angles. The transversal is line \(r\) (or \(s\)), and the two lines \(p\) and \(q\) are cut by this transversal.

Answer:

B. \(p\) and \(q\)