Answer
$m\angle 1$ is $85^{\circ}$, and $m\angle 2$ is $95^{\circ}$.
Work Step by Step
If the lines are parallel, then $m\angle 1$ is $85^{\circ}$ because the angle whose measurement is given and $\angle 1$ are corresponding angles, which are congruent.
$\angle 1$ is supplementary to $\angle 2$ because they are same-side interior angles, which are supplementary. Let's subtract $m\angle 1$ from $180^{\circ}$ to find $m\angle 2$:
$180 - 85 = 95$
$m\angle 1$ is $85^{\circ}$, and $m\angle 2$ is $95^{\circ}$.
