Answer
$m\angle 1$ is $85^{\circ}$, and $m\angle 2$ is $110^{\circ}$.
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 alternate interior angles, which are congruent.
$\angle 2$ and the other angle whose measurement is given are supplementary because they are same-side interior angles, which are supplementary. Let's subtract $70^{\circ}$ from $180^{\circ}$ to find $m\angle 2$:
$180 - 70 = 110$
$m\angle 1$ is $85^{\circ}$, and $m\angle 2$ is $110^{\circ}$.
