Here is a problem I really would like to see the answer to, if there is one.
From point A three lines, b, c and d are drawn.
The angles between the three lines are known values
A 4th line intersects these 3 lines at point B, C and D.
The segments BC = CD but have no known value.
Angle ACB + ACD = 180 degrees (due to the fact that the 4th line is a straight line).
The question:
Can one calculate, based on the angles BAC and CAD, the angles ABC, ACB, ACD or ADC?
If so, how?
EDIT: Lately I have started to suspect that it's not the angles BAC and CAD that are important, but rather the
relationship between those two angles.