Answer
$m\angle1=75$
$m\angle2=105$
Work Step by Step
The Corresponding Angles Theorem tells us that $m\angle1=75$, because $\angle1$ and the angle labeled $75^o$ are a corresponding angle pair.
$\angle2$ and the angle labeled $75^o$ form a linear pair, so they are supplementary.
$m\angle2+75=180$
$m\angle2=105$
