Question

problem 14: (first taught in lesson 24) from this diagram, select the pair of lines that must be parallel if ∠5≅∠7. if there is no pair of lines, select
one.\ after you pick your answer press go. a. ℓ∥n b. o∥q c. ℓ∥m d. p∥q e. none

Explanation:

Step1: Recall corresponding - angle postulate

If two lines are cut by a transversal and corresponding angles are congruent, the lines are parallel.

Step2: Identify corresponding - angles

$\angle5$ and $\angle7$ are corresponding angles when lines $\ell$ and $n$ are cut by transversal $q$. Since $\angle5\cong\angle7$, by the corresponding - angle postulate, $\ell\parallel n$.

Answer:

A. $\ell\parallel n$