Attempting to create three planes with specific angles between them.

[k.endrick90]

How can I specify the angles between two planes for three planes simultaneously? I would like one angle to be 90, one to be 60 and the other to be 36. Creating the first two planes at 90 degrees to each other is trivial but getting the third one placed is difficult. 

[etfrench]

Like this:

1. 
2. Pick one of the origin planes.
3. Create a sketch on it.
4. Draw a horizontal line from the origin.
5. Draw a line at 60 degrees.
6. Construct a Plane at Angle.
7. Rotate cube 90 degrees.
8. Create a sketch on the facing origin plane.
9. Draw a horizontal line from the origin.
10. Draw a line at 30 36 degrees.
11. Construct a Plane at Angle.
12. Done.