If you want, you might start with storing your bags (info below).

Then, I suggest you have a drink (or two) at the Encounter Restuarant. It's in the "old control tower" in the middle of the LAX parking garages. Walt Disney Engineering "redesigned" a few years ago and it has a Jetson's space age decour. http://www.iflylax.com/lax_encounter.html

If it is appealing, LAX often has art displays/exhibits that are pretty good and throughout the airport.

Walking back and forth btwn terminals ought to use up much of your layover

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Baggage Storage

Large items, such as golf bags, surfboards, and bicyles can be stored at LAX. Packaging materials such as boxes, tape and rope and wrapping services are also available. This service is located on the Lower/Arrival Level of Tom Bradley International Terminal.

Storage hours are from 9 a.m. to 9 p.m. daily and wrapping services are available from 8 a.m. to 11 p.m. daily (Pacific). There is no limit on the number of days for which items can be stored at this baggage service.

LAX International Baggage Service
380 World Way
Los Angeles
CA 90045
(310) 646-0222
(310) 646-0223