Question

which angles are corresponding angles? image of lines and angles options: ∠qpr and ∠qpm, ∠qpr and ∠nmp, ∠qpr and ∠lmp, ∠qpr and ∠lmk

Explanation:

Step1: Recall Corresponding Angles Definition

Corresponding angles are equal when two parallel lines are cut by a transversal, and they occupy the same relative position at each intersection.

Step2: Analyze the Diagram

Lines \( OQ \) and \( LN \) are parallel (both vertical with same direction), and line \( RK \) is the transversal. \( \angle QPR \) is at the intersection of \( RK \) and \( OQ \), and \( \angle LMK \) is at the intersection of \( RK \) and \( LN \), in the same relative position (upper - right of the intersection for \( \angle LMK \) and upper - right of the intersection for \( \angle QPR \) when considering the transversal and parallel lines).

• \( \angle QPR \) and \( \angle QPM \): These are adjacent angles, not corresponding.
• \( \angle QPR \) and \( \angle NMP \): Different relative positions.
• \( \angle QPR \) and \( \angle LMP \): Different relative positions.
• \( \angle QPR \) and \( \angle LMK \): Same relative position with respect to the parallel lines and transversal.

Answer:

\( \angle QPR \) and \( \angle LMK \)