Elementary Technical Mathematics

$\angle 2 - 53^o$ $\angle 3 - 53^o$
$Since\ a\parallel b, if a\perp c\ then\ b\perp c.$ $Since\ b\perp c, \angle1\ and \angle2\ are\ complementary.$ $\angle 2=90^o-37^o=53^o$ $\angle2 \ and\ \angle3 \$ are corresponding angles, so they have the same measurement.