In a Linear Pair the 2 angles add up to 180 degrees while Vertical Angles are just 2 vertical angles that are congruent.
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A straight line which is not vertical.
Linear has a slope direct does not but both go through the orgin
A good theme would be space, such as angles on stars. Another one would be a sport, like tennis. For angles you could use the angles of arms with people playing.
In the sense of an adjectival form fro a line, there is no difference, except that lineal is an older version. In the context of genealogy - ancestors and descendants - lineal is used rather than linear.