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[Mighty Midget]

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.