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 - angles postulate

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

Step2: Identify $\angle1$ and $\angle8$

$\angle1$ and $\angle8$ are corresponding angles when lines $\ell$ and $m$ are cut by transversal $o$.

Step3: Apply the postulate

Since $\angle1\cong\angle8$, by the corresponding - angles postulate, $\ell\parallel m$.

Answer:

A. $\ell\parallel m$