Question

directions: decide which lines would be parallel (if any). then, choose the correct reason that justifies your decision. (if none of the parallel lines are determined to be parallel, select
/a\ for the reason) ex: k || n ∠3 ≅ ∠6 reason # 1

Explanation:

Step1: Identify corresponding angles

When two lines are cut by a transversal, if corresponding angles are congruent, the lines are parallel.

Step2: Check for parallel lines

Since \(\angle12\cong\angle6\), and \(\angle12\) and \(\angle6\) are corresponding angles for lines \(n\) and \(m\) with transversal \(t\).

Answer:

\(n\parallel m\), Reason: Corresponding angles are congruent.