Question

which angle is a congruent corresponding angle to ∠1? (image of two parallel lines cut by a transversal with angles labeled 1,2,3,4,5,6,7,8) options: ∠8, ∠4, ∠5, ∠2

Explanation:

Step1: Recall Corresponding Angles Definition

Corresponding angles are in the same relative position at each intersection where a transversal crosses two parallel lines.

Step2: Identify Positions of $\angle 1$ and Other Angles

$\angle 1$ is at the upper - left intersection of the transversal and the top parallel line. Looking at the lower intersection (with the bottom parallel line), $\angle 5$ is in the same upper - left relative position at its intersection. $\angle 8$ is at the lower - right, $\angle 4$ is at the upper - right of the top intersection, and $\angle 2$ is adjacent to $\angle 1$ (supplementary or vertical in a different way, not corresponding). So the angle congruent and corresponding to $\angle 1$ is $\angle 5$.

Answer:

$\angle 5$