Question

in the figure, a || e, m || n, and m∠3 = 112°. what is the m∠1? enter your answer in the box.

Explanation:

Step1: Identify vertical - angle relationship

$\angle3$ and $\angle5$ are vertical angles, so $m\angle5 = m\angle3=112^{\circ}$.

Step2: Identify corresponding - angle relationship

Since $a\parallel e$, and $\angle1$ and $\angle5$ are corresponding angles, then $m\angle1 = m\angle5$.

Answer:

$112$