Supplementary angles are angles that add up to 180 degrees.
Angle 1 = x
Angle 2 = x + 10
Since they are supplementary, we can set then equal to 180
x + x + 10 = 180
Combine like terms
2x + 10 = 180
Subtract 10 from both sides
2x = 170
Divide both sides by 2
x = 85
Angle 1 = 85 degrees
Angle 2 = 85 + 10 = 95 degrees