Answer:
The correct option is D.
Step-by-step explanation:
It is given that L1 is perpendicular to L2, L2 is perpendicular to L3, and L3 is parallel to L4.
L1 ⊥L2, L2 ⊥ L3, L3║L4.
If one line perpendicular to second line and second line perpendicular to third line, then first and third line are parallel.

Using transitive property of parallel lines.

L1 is parallel to L4 because L1 is parallel to L3 and L3 is parallel to L4.
Therefore the correct option is D.