Question

which is a pair of corresponding angles? ∠4 and ∠1 ∠4 and ∠2 ∠4 and ∠8 ∠4 and ∠3

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are in the same relative position at each intersection where a straight line crosses two others.

Step2: Analyze each option

• For $\angle 4$ and $\angle 1$: They are vertical angles (opposite angles formed by two intersecting lines), not corresponding angles.
• For $\angle 4$ and $\angle 2$: They are adjacent angles (share a common side and vertex), not corresponding angles.
• For $\angle 4$ and $\angle 8$: They are in the same relative position (both on the same side of the transversal and in corresponding positions relative to the parallel lines), so they are corresponding angles.
• For $\angle 4$ and $\angle 3$: They are adjacent angles (share a common side and vertex), not corresponding angles.

Answer:

$\angle 4$ and $\angle 8$