Question

(if none of the parallel lines are determined to be parallel, select
/a\ for the reason)
ex: k || n ∠3 ≅ ∠6
reason # 1

1. if aia ≅, then lines ||
2. if aea ≅, then lines ||
3. if ca ≅, then lines ||
4. if ssia supp., then lines ||
5. if ssea supp., then lines ||

k || m
n/a
reason: 5 if ssea su

Explanation:

Step1: Identify the relationship between angles

We need to check the angle - line relationships. For \(k\parallel m\), we look at the angles formed by the transversal \(t\).

Step2: Apply the SSEA (Same - Side Exterior Angles) theorem

The SSEA theorem states that if two lines are cut by a transversal and the same - side exterior angles are supplementary, then the two lines are parallel. Here, when considering lines \(k\) and \(m\) with transversal \(t\), the relevant angle pair for the SSEA condition (if we assume the correct angle - pair based on the line - transversal configuration) leads to the conclusion \(k\parallel m\) using the rule "If SSEA supp, then lines \(\parallel\)"

Answer:

\(k\parallel m\), Reason # \(5\)