Question

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

Explanation:

Step1: Recall corresponding - angle postulate

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

Step2: Apply the postulate

Since $m\angle1 = m\angle2$, by the corresponding - angle postulate, $n\parallel m$.

Answer:

B. $n\parallel m$