1. The problem statement, all variables and given/known data As shown in the attached sketch, derive a non-transcendental equation for the angle, X, given that the parameters A,B, d and R are known variables. 2. Relevant equations Basic trig. 3. The attempt at a solution I have derived an equation which is a function of X as shown below based on simple trignometry: B = d + R + Rcos(x) + dcos(x) + (A-d-R)sin(x) Which can be arranged into a (somewhat) easier format: (R+d)cos(x) + (A-d-R)sin(x) = B - d - R However I cannot simplify this expression any further. If anyone can help me with this I would really appreciate it! I hope I have been clear in showing the problem geometry, any ambiguities please let me know. Thank you so much.