Question

given: \\( \angle 8 \cong \angle 16 \\) 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 corresponding angles postulate

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

Step2: Identify the transversal and lines

Here, the transversal is \(q\) (since \(\angle8\) and \(\angle16\) are related to it). \(\angle8\) and \(\angle16\) are corresponding angles. The lines \(r\) and \(s\) are cut by the transversal \(q\).

Answer:

A. \(r\) and \(s\)