That might very well be possible, seeing the lack of data for this particular psoblem. The interesting bit is to see how any difference between the two known angles influence the direction of the 4th line.
If they are both equal and do not equal to zero, then the 4th line is perpendicular to line c.
If they are both equal and equal to zero, then the 4th line is at 0 or 180 degrees on the c line.
If the angle BAC is greater than CAD, then the 4th line is at an angle "a" on the c line 90 < a < 180
If the angle BAC is smaller than CAD, then the 4th line is at an angle at the c line at 0 < a < 90
So, there is some sort of relationship here. The question is is it predictable and can it be calculated?
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