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What does the surveying exercise say about handling error? Since the three lines do not intersect exactly at a point then some method must be used to address the error. One approach may be to make a line parallel to 3 passing through point C and then extend each line until it intersects with both of the other lines. You can then construct a circle through the 3 intersection points (red circle) or draw a circle tangent to the three lines (yellow circle), or use some other rule. This construction is very easy in AutoCAD.
On a related note, I recommend an excellent book on the origins of handling surveying error (regression analysis). It is "The Measure of All Things" by Ken Adler. It is the story of how the length of the meter was first established and in the process the importance of handling error in measurements.