Concurrent lines are lines that intersect at a single point.
Well, a figure cannot be shown here, but try to draw/imagine.
For instance, in an x-y plane, you have the three concurrent lines that intersect at the origin. Now, in order to have one pair of parallel lines, the fourth line must lie in the z-axis, and must be parallel to only one of the three lines. It cannot lie on the x-y plane also because it will intersect the other two lines (which will make them concurrent with each other - which we cannot assume).
hope it's clear ^^;
If you have four lines how can you position them so that three are concurrent with each other and two are parallel to each other?
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