You would need more information, i.e. at least one of the angles in the outermost triangle.
The black line represents the X coordinate axis. The only known angle is the black circle. NOT the angle between that red line and green line, but rather the angle of the black and green line.
What I need to find is the XY coordinates of the red dot. And I need the formula for the solution. I'm not even sure if it's possible. If it isn't, tell me.