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No, they are not.
A quardrilateral with 1 pair of parallel lines and have no equal sides is a trapezium.
Yes, a pair of intersecting lines always forms a pair of vertical angles.
In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of linesthrough opposite edges of a regular tetrahedron.
A rhythmic unit enclosed between a pair of vertical lines is a measure, or bar.