Question

in the diagram, the parallel lines m and n are cut by the transversal line t. which angles are congruent? a. ∠1 and ∠8 b. ∠2 and ∠8 c. ∠4 and ∠6 d. ∠4 and ∠7

Explanation:

Step1: Identify angle types

Parallel lines \(m\) and \(n\) cut by transversal \(t\); ∠2 and ∠8 are alternate exterior angles.

Step2: Apply congruence rule

Alternate exterior angles formed by parallel lines and a transversal are congruent. Thus, ∠2 ≅ ∠8.

Answer:

B. ∠2 and ∠8