Question

identifying parallel lines. which lines are parallel if ∠1 = ∠2? justify your answer.

Explanation:

Step1: Recall parallel - line theorem

If corresponding angles are equal, then the lines are parallel. $\angle1$ and $\angle2$ are corresponding angles formed by lines $a$ and $b$ with transversal $m$.

Answer:

Lines $a$ and $b$ are parallel because $\angle1$ and $\angle2$ are corresponding angles and when corresponding angles are equal, the lines are parallel.