One angle of a triangle is 50 degrees greater than the smallest angle, and the third angle is 10 degrees less than twice the smallest angle. find the measures of the three angles.

All 3 angles of a triangle must equal to 180. You can simply set up an equation to solve this and set it equal to 180.

Angle 1 - 50 + x

Angle 2 - x

Angle 3 - 2x - 10

50+x+x+2x-10=180

4x+40=180

4x=140

x=35

Angle 1 = 50+35 = 85

Angle 2 = 35

Angle 3 = 2 (35) - 10 = 60

60+35+85=180