It is possible for all nine lines to be perpendicular to at least one other line.
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Each of the eight line segments is perpendicular to 2 line segments. So there are 8 pair in all.
A cuboid has 6 faces, 12 edges and 8 vertices which all meet at right angles.
how many sets of parallel lines are in a triangle
If by two sets of perpendicular lines you mean two pairs of perpendicular lines we can do it. One set of parallel lines is easy so draw that as the first and second lines A right angle from one of them will intersect the other at a right angle so that's the third line and the right angles sorted. The fourth side cannot be parallel to the third so draw it at an angle to the third. We now have two right angles, one set of parallel lines and two pairs of perpendicular lines, first and third, and second and third. What we call it depends on where we are. In the UK it is called a trapezium and in the USA a trapezoid. I'm afraid I don't know naming conventions in other countries.