Question

∠7 ≅ ∠3
is m || n?
how do you know?

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So, $\angle2\cong\angle1$.

Step2: Use corresponding angles converse

Given $\angle7\cong\angle3$. Also, $\angle2\cong\angle1$ (vertical angles). If two lines are cut by a transversal such that corresponding angles are congruent, then the lines are parallel. Here, $\angle7$ and $\angle3$ are corresponding angles.

Answer:

Yes, \(m\parallel n\) because if two lines are cut by a transversal and corresponding angles (\(\angle7\) and \(\angle3\)) are congruent, then the lines are parallel.