Never.
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No. Lines can intersect at any possible angle.
Skew lines never intersect. If two lines intersect, then they are known as "intersecting lines", not skew lines.
always. if two lines intersect, then exactly one plane contains the lines.
sometimes
The intersection of two planes is never a point. It's usually a line. But if the planes have identical characteristics, then their intersection is a plane. And if the planes are parallel, then there's no intersection.