Non interesting lines are called lines
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Intersecting Lines
Non-perpendicular intersecting lines. There is no special name.
By definition, any lines/segments that are perpendicular to each other either do, or (in the case of non-intersecting segments) would, intersect each other at right angles. A right angle being a 90* angle. Therefore, perpendicular, intersecting line segments will form 4 90* angles.
When two lines intersect four angles are formed. Adjacent refers to angles that are next to each other so non adjacent refers to the ones opposite each other. They will have equal angles. Two adjacent angles in this situation will have a sum of 180 degrees.
Skew lines