Question

problem 20: (first taught in lesson 27) from this diagram, select the pair of lines that must be parallel if ∠6 ≅ ∠8. if there is no pair of lines, select
one.\ after you pick your answer press go. a. o || q b. ℓ || n c. m || n d. p || q e. none

Explanation:

To determine parallel lines, we use angle - related theorems (like alternate interior, corresponding, or vertical angles). $\angle6$ and $\angle8$: $\angle6$ is at line $n$ and $q$, $\angle8$ at $\ell$ and $q$. These angles are vertical angles (or not related to transversal - parallel line theorems for the given lines). For $\ell\parallel n$, $m\parallel n$, or the vertical lines ($o,p,q$) to be parallel, the angle relationship ($\angle6\cong\angle8$) doesn't satisfy the parallel line angle conditions (e.g., alternate interior, corresponding angles). So no lines must be parallel.

Answer:

E. None