41º
1) Since we want to find the reference angle for a -139º angle, we need to resort to the following formula
[tex]Reference\:Angle\:\:Quadrant\:III=180^{\circ}-139^{\circ}=41^{\circ}[/tex]2) Note that a -139 angle is in quadrant III, since negative angles are clockwise oriented
3) Thus the Reference Angle is 41º