Question

which angles are alternate exterior angles?
options:
∠nmk and ∠opr
∠nmk and ∠qpm
∠nmk and ∠qpr
∠nmk and ∠nmp

Explanation:

Step1: Recall alternate exterior angles definition

Alternate exterior angles lie outside two parallel lines and on opposite sides of a transversal.

Step2: Identify lines and transversal

Parallel lines: LN and OQ; Transversal: KR.
∠NMK is outside LN (above LN, right of transversal).
∠OPR is outside OQ (below OQ, left of transversal) – opposite sides of transversal.

Step3: Check other options

∠NMK & ∠QPM: same side, interior.
∠NMK & ∠QPR: same side, exterior.
∠NMK & ∠NMP: adjacent, not alternate.

Answer:

∠NMK and ∠OPR