Is there a straight forward way to find the angle of intersection when using polyxpoly?

I have a polyshape and a line coincedent with the Y axis.

As I rotate the polyshape I would like to know the angle of intersection at the point given by the polyxpoly function.

Is there a straight forward way to achieve this?

[darova]

polyxpoly also returns indices that were intersected

You can extract appropriate data and use atan2d