line L bisects and is perpendicular to line AB and line CD. Line AB = CD line AB = 140 and line LM = 24 what is the length of line NQ.

good question. Is this in 3D?

If not, why bother with line CD, since AB=CD?

and where the heck are N and Q?

To find the length of line NQ, we need some additional information. Could you please provide the relationship between points L, M, N, and Q?