#### Answer

$117^{\circ}, 63^{\circ}$

#### Work Step by Step

1. These are alternate interior angles so they are congruent.
$2x+61=6x+51$
2. Solve for x:
$-4x+61=51$
$x=28^{\circ}$
3. Insert x into one of the angles to find the measure :
$2(28)+61=117^{\circ}$
4. To find the supplementary angle subtract it from 180:
$180-117=63^{\circ}$