## Trigonometry (10th Edition)

$117^{\circ}, 63^{\circ}$
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: $180-117=63^{\circ}$