Question

identify all pairs of corresponding angles.
∠1 and ∠5
∠1 and ∠8
∠2 and ∠6
∠2 and ∠7
∠3 and ∠6
∠3 and ∠7
∠4 and ∠5
∠4 and ∠6
∠4 and ∠8

Explanation:

Step1: Recall definition of corresponding angles

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. If the two lines are parallel, corresponding angles are equal.

Step2: Identify corresponding angle pairs

For two parallel lines cut by a transversal, the pairs of corresponding angles are: $\angle1$ and $\angle5$, $\angle2$ and $\angle6$, $\angle3$ and $\angle7$, $\angle4$ and $\angle8$.

Answer:

$\angle1$ and $\angle5$, $\angle2$ and $\angle6$, $\angle3$ and $\angle7$, $\angle4$ and $\angle8$