Measure and bisect multiple crv angles

Hi there, 

I'm having a problem that doesn't let me move forward. 

What I'm doing is taking as a input mutiple curves from Rhino, and then separating them by identifying their intersection. Once I have them organized by common point of intersection, what I want to do is be able to measure the angle between the curves of each group (it can be intersections betwen 2 or more curves). Besides be able to measure the angles (for example if I have an intersection between two curves, I should be able to get 4 angles, and if I have an intersection between 3 curves I should be able to get 6 angles) I need to bisect those same angles I've just measured, and doing all of that and still remain the organization of the list the enabled me to group them by common intersection point. 

Is there a way of doing this?? I've been struggling with this for a while and cant get any good solution. Any help would be most appreciated...!

pd. I'm attaching and image of what I want, the gh and thino.