Okay I worked it out again, I finally get to a point where a Angle C = something Angle A.
This needs to be in a resting position and that is where my problem is.
W1=350lbs W2=650lbs B=20Deg
I have a beam suspended by two cables with two weights suspended by the beam. The weight of the beam is negligible. How would I find the resting angles of the cables.