Question

ln and oq are parallel lines. which angles are vertical angles? ∠opr and ∠nmk ∠opm and ∠opr ∠lmp and ∠qpm ∠opr and ∠qpm

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are pairs of opposite angles formed by two intersecting lines.

Step2: Analyze each option

• For \(\angle OPR\) and \(\angle NMK\): These angles are not formed by the intersection of the same two lines.
• For \(\angle OPM\) and \(\angle OPR\): These angles are adjacent, not vertical.
• For \(\angle LMP\) and \(\angle QPM\): These angles are formed by the intersection of lines \(RK\) and \(OQ\) (or \(LN\)) and are opposite each other, so they are vertical angles.
• For \(\angle OPR\) and \(\angle QPM\): These angles are not vertical angles.

Answer:

\(\angle LMP\) and \(\angle QPM\)