A cube has six pairs of intersecting line segments. These six pairs will total 72 lines in a cube.
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Intersecting line segments
A cube has exactly 6 parallel lines.
A right angle.
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.
Intersecting Lines