My pontiac G6 trunk lid is jambed,the dash indicator say 'Trunk Adjar" but we can niether shut it or get it open. both the key fob and the inside relese button seem to be be working in that you can hear the click at th trunk still does not release.

First thing is to get the trunk open

(Try to push down the trunk lid before pressing the fob)
ok, let's assume you got it open. Closely inspect the bundle of wires that go into the trunk lid. You will find a small section that will flex when the lid goes from closed to full open. That's the spot to look VERY closely at the flex point. You may find a wire that looses contact due to mechanical agitation while previous openings and closings of the trunk ( a million times).
Fix the wire and spray the trunk latch first with penetrating lube then with pure lube. WITH THE LID STILL OPEN check the remote and the dash button and ensure rhe actions actuate the trunk lid solenoid at the latch.

You can fold either side of the rear seatback down for more cargo space.
To lower the rear seatback, follow these steps:

Open the trunk and pull one or both of the small handles located in the center of the trunk.
Once the handle is pulled, the seatback can be pushed open through the trunk, or pulled open from the inside of the vehicle.

Sorry ,but you need the trunk open ! What's wrong with your's ? loose your key . trunk release inside the vehicle doesn't work .
Luggage Compartment
Your best bet , have a qualified repair shop check it out . May have DTC'S diagnostic trouble codes stored .
DTC B3267: Trunk Release Output Circuit Low
DTC B3268: Trunk Release Output Circuit High

The rear compartment release circuit consists of the following:
• The intergrated body control module (IBCM) fuse
• The rear compartment lid release relay
• The rear compartment lid lock release actuator
• The rear compartment lid release switch
• The cargo lamp/trunk ajar switch
The rear compartment release circuit operates as follows. Battery positive voltage is applied at all times to the rear compartment lid release relay. The rear compartment lid release relay is energized by either depressing the rear compartment lid release switch, or when the IBCM receives a rear compartment release signal from a key fob. The IBCM then provides a path to ground on the rear compartment lid release relay control circuit, energizing the rear compartment lid release relay. When the rear compartment lid release relay is energized, battery positive voltage is supplied to the rear compartment lid lock release actuator causing the actuator to energize releasing the rear compartment lid. The rear compartment may be released with the dash mounted rear compartment release switch. The ignition must be in the OFF or ACCESSORY positions for the rear compartment to be released with a keyless entry transmitter fob (RFA). The rear compartment may also be released by an OnStar commanded using RFA functionality.

Did you check for a loose electrical connector on the trunk lock mechanism? There was a small two prong connector that was loose on my 2001 Pontiac Grand Am I connected it and the trunk button on drivers door now works and when I get a new key fob I am sure it will work.

key pads did not work had ckd. and the pads were bad . new ones were expensive then had to be programed at dealership

Lower the back seat and crawl into the trunk and see what the latch is doing when you activate the key fob. the trunk lid will have to be open to enable any repairs. Also an emergency release cable is probably visible (yellow handle) inside the trunk and will Open the trunk lid.

you need to remove the trim cover on the inside of the trunk lid. it sounds like the solenoid is jamming. the solenoid should flick out against a lever that will release the trunk lid and then return back again within a split second. if it stays out then it is jamming, and thus holding the truncks locking mechanism open.
the solenoid may also jam shut and therefor not release the lock. if you can see this happening then replace the solenoid.

Yes, insure that you have power to the trunk lock inside trunk, If not could be lose/broken wire or shot fuse. I am sure the key fob does work for the doors? If not have key fob battery replaced. Also, a quick check on power to trunk lock, check to see if have remote power button inside car, if it works power is good. Defective key fob would then be indicated.

call any pontiac dealer and they will be able to help you obtain a new key for a reasonable price.

If you can't live without the key fob and use the old fashion key, I am sorry to say it is time to go visit Mr. Goodwill. Bring lots of money and your first born child for collateral.

If you will turn the ignition on, press & hold the door lock release button to the left . . . . viola!