Question

1. which angles are corresponding angles? ∠2 and ∠8 ∠1 and ∠2 ∠2 and ∠6 ∠1 and ∠3

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines (if any). When a transversal intersects two lines, corresponding angles are on the same - side of the transversal and on the same - side of the two lines.

Step2: Analyze each option

• For $\angle2$ and $\angle8$, they are not corresponding angles. $\angle2$ and $\angle8$ are alternate - exterior angles.
• For $\angle1$ and $\angle2$, they are adjacent angles, not corresponding angles.
• For $\angle2$ and $\angle6$, they are corresponding angles. $\angle2$ and $\angle6$ are on the same - side of the transversal $l$ and on the same - side of lines $a$ and $b$.
• For $\angle1$ and $\angle3$, they are vertical angles, not corresponding angles.

Answer:

$\angle2$ and $\angle6$