Calculating the angles of the following triangle

Hello, im stuck on finding the angles in the following triangle in order to find the resultant forces.

I have this traingle; http://img293.imageshack.us/img293/8215/questione.png

which i want to find out all the angles for. I know that the following is;

Rx = 153.2

Ry = 128.56

Here is the angles my teacher found... somehow;

http://img812.imageshack.us/img812/2723/solutions.png

ive tried using the cosine rule, in combination with the resultant x and y forces, but it didnt work

any tips?

Thanks allot