Question

problem 14: (first taught in lesson 24) from this diagram, select the pair of lines that must be parallel if ∠1≅∠8. if there is no pair of lines, select “none”. after you pick your answer press go. a. ℓ∥m b. o∥q c. ℓ∥n d. m∥n e. none

Explanation:

Step1: Recall corresponding - angle postulate

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

Step2: Identify corresponding - angle relationship

$\angle1$ and $\angle8$ are corresponding angles when lines $\ell$ and $m$ are cut by transversal $o$. Since $\angle1\cong\angle8$, by the corresponding - angle postulate, $\ell\parallel m$.

Answer:

A. $\ell\parallel m$