How Is the Angle Determined for the Opposite String in a Suspended Rod Scenario?

[physicshawk]

A uniform rod of 80 Newtons is suspended from the ceiling by strings attached to its ends. The rod is in equilibrium at an angle of 10 degrees to the horizontal, and the string attached to the higher end is at an angle of 40 degrees tohe vertical. Find the angle which the other string makes with the vertical. (and please use the geometric method as this is the chapter i am learning now.) Thanks.
I have shown through diagram my working in the URL below. I just can't get the angle. Could you please get the angle for me.

http://farm6.staticflickr.com/5498/9993960885_c8d9523a07_b.jpg
[

 

[Enigman]

Just encase the link in -tags next time.

 

[Enigman]

Use the fact that the rod is in equilibrium. The sum of forces is zero both in horizontal and vertical directions.