Im not too sure but you will probably have to do it in several steps. Although i cant actually see what you are doing it seems as if you are only doing a simple cut. In which case you should be able to do it in three steps instead of one:

1) New plane at desired new angle. 10 deg.
2) New cut from new plane.
3) Circular pattern.

You can even copy and pase your sketch and then redefine. ???