Sketch Pattern with rotation

I have an RSA frame and I need to add tangs extending from the back and bottom. I want to pattern these tangs using a sketch driven pattern so I create them all in a single easy feature, but the RSA runs in different directions and I need all the tangs to be tangent to the RSA. Is there any way to specify/change the rotation of instances in a sketch driven pattern.

I can't use a curve driven pattern because the tangs are at inconsistent spacings due to lengths of the RSA pieces.

The best solution I have at the moment is to have a separate tang to use as a seed for each direction I need.

RSA Frame

Tangs