Question

if m∠1 = m∠2, which of the following statements is true?
o a k||j
o b n||m
o c ℓ||k
o d ℓ||m

Explanation:

Step1: Recall angle - parallel line relationship

If two lines are cut by a transversal and corresponding angles are equal, then the lines are parallel. Here, $\angle1$ and $\angle2$ are corresponding angles formed by lines $n$ and $m$ with transversal $k$.

Step2: Determine parallel lines

Since $m\angle1 = m\angle2$, by the corresponding - angles postulate, we can conclude that $n\parallel m$.

Answer:

B. $n\parallel m$