Question

identify the correct statement.
∠1 & ∠5 are corresponding angles
∠2 & ∠4 are corresponding angles
∠5 & ∠8 are corresponding angles
∠1 & ∠2 are corresponding angles

Explanation:

Corresponding angles lie in the same relative position (e.g., above the parallel line, right of the transversal) when a transversal crosses two parallel lines.

• $\angle1$ is above line $l$, right of transversal $n$; $\angle5$ is above line $m$, right of transversal $n$, so they match the definition.
• $\angle2$ and $\angle4$ are vertical angles, not corresponding.
• $\angle5$ and $\angle8$ are vertical angles, not corresponding.
• $\angle1$ and $\angle2$ are supplementary adjacent angles, not corresponding.

Answer:

$\angle1 \& \angle5$ are corresponding angles