Biino
Windwalker
It's not terribly difficult to find the intersection point of 2 lines:
You can use each "line" object's angle and position to determine its straight-line equation. From there, use the two equations to solve for the same x and y.
Demo
Capx
This method will only work for straight lines. Unfortunately finding the intersection point of polygons is a bit outside my mathematical comfort zone... at least for now. It would be handy if there was a system expression for LastCollisionX and LastCollisionY. I don't know how difficult it would be to implement, but I do know it's a lot easier to detect if polygons collide rather than where.
You'd be surprised how often math is used in creating games. Knowing basic algebra, trig, and geometry has helped me on several occasions. If you're interested in brushing up on the subject, there's a myriad of resources online.