Question

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

Explanation:

Step1: Recall vertical - angle property

Vertical angles are congruent. $\angle1$ and $\angle2$ are a linear - pair (sum to 180°), not congruent.

Step2: Check corresponding angles

Corresponding angles formed by two parallel lines and a transversal are congruent. $\angle6$ and $\angle2$ are corresponding angles.

Step3: Analyze other angle pairs

$\angle6$ and $\angle3$ are neither vertical nor corresponding. $\angle5$ and $\angle7$ are a linear - pair (sum to 180°), not congruent.

Answer:

$\angle6$ and $\angle2$