Perpendicular if they form right angles if not they form vertical opposite equal angles
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intersection
Not necessarily. Consider two lines that intersect at some angle other than 90 degrees. Then the angle of intersection is not 90 degrees means they are not perpendicular. But, because they intersect, neither are they parallel.
Perpendicular lines intersect at one point only.
Skew lines
This is true. If three straight lines are drawn, they can only intersect at two points. That is, each line will only intersect with another once.