Question

problem 13: (first taught in lesson 27) from this diagram, select the pair of lines that must be parallel if ∠1≅∠4. if there is no pair of lines, select
one.\ after you pick your answer press go. a. ℓ∥n b. o∥p c. ℓ∥m d. o∥q e. none

Explanation:

Step1: Recall parallel - line angle rules

Corresponding, alternate - interior, and alternate - exterior angle relationships are used to prove parallel lines.

Step2: Analyze \(\angle1\) and \(\angle4\)

\(\angle1\) and \(\angle4\) are not corresponding, alternate - interior, or alternate - exterior angles for any pair of the given lines (\(\ell\), \(m\), \(n\), \(o\), \(p\), \(q\)). So, no pair of lines can be proven parallel based on \(\angle1\cong\angle4\).

Answer:

E. None