Question

problem 13: (first taught in lesson 23) from this diagram, select the pair of lines that must be parallel if ∠2≅∠6. if there is no pair of lines, select “none”. after you pick your answer press go. a. o || q b. p || q c. ℓ || m d. m || n e. none

Explanation:

Step1: Recall parallel - line theorem

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

Step2: Identify corresponding angles

$\angle2$ and $\angle6$ are corresponding angles formed by lines $\ell$ and $m$ with transversal $q$.

Step3: Determine parallel lines

Since $\angle2\cong\angle6$, by the corresponding - angles postulate, $\ell\parallel m$.

Answer:

C. $\ell\parallel m$