Question

identify the correct statement.∠1 & ∠8 are alternate interior angles∠2 & ∠3 are alternate interior angles∠4 & ∠5 are alternate interior angles∠7 & ∠4 are alternate interior angles

Explanation:

Step1: Define alternate interior angles

Alternate interior angles lie between two parallel lines, on opposite sides of a transversal, and are not adjacent.

Step2: Analyze each option

• $\angle1 \& \angle8$: Lie outside lines $l,m$ → exterior angles, not interior.
• $\angle2 \& \angle3$: Lie between lines $l,m$, opposite sides of transversal $n$, non-adjacent → match definition.
• $\angle4 \& \angle5$: Lie on same side of transversal $n$ → consecutive interior angles.
• $\angle7 \& \angle4$: $\angle7$ is outside, $\angle4$ is inside → not both interior.

Answer:

$\angle2 \& \angle3$ are alternate interior angles