Question

which angles are congruent to each other? ∠1 and ∠5 ∠2 and ∠7 ∠8 and ∠6 ∠4 and ∠3

Explanation:

Step1: Recall congruent - angle rules

Corresponding angles formed by two parallel lines and a transversal are congruent. $\angle1$ and $\angle5$ are corresponding angles.

Step2: Analyze other angle - pairs

$\angle2$ and $\angle7$ are neither corresponding, vertical, alternate - interior nor alternate - exterior angles. $\angle8$ and $\angle6$ are adjacent angles. $\angle4$ and $\angle3$ are adjacent angles.

Answer:

$\angle1$ and $\angle5$