Not possible, the point would be part of the line.
* * * * *
So, the intersection is that point. Think in terms of sets rather than geometry.
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It is a perpendicular line that forms a right angle at the point of intersection.
A point.
Combined angles of 360 degrees around the point of intersection.
No. It can be the whole line.
In most cases, in a single point. It is also possible that there is no intersection, or that the intersection is the entire line.