Answer
$m\angle1=120$
$m\angle2=60$
Work Step by Step
$\angle 1$ forms a corresponding angle pair with the angle marked $120^o$. The corresponding angle theorem tells us these two angles are congruent, so they have the same measure.
$\angle 2$ forms a same-side interior angle pair with the angle marked $120^o$. The same-side interior angle postulate tells us these two angles are supplementary.
$m\angle2+120=180$
$m\angle2=60$
