Wireless Headphones

Bluetooth transmitter?  You can connect a Bluetooth transmitter to 1 of 3 audio ports:
 - Composite Left/Right audio
 - 3.5 mm port
 - Optical TOSLINK

If you use the optical port, you will need a Digital-to-Analog Converter (DAC) to convert the digital signal into an analog signal.  If your Bluetooth transmitter has a built-in DAC, you won't need another DAC.  The Composite and 3.5 ports don't need to be converted because they're analog signals.

It is not bluetooth. It is an RCA connector (red & black) that has a 3.5 connector which connects into the transmitter.

What's the make and models of your headphones and Contour...and your TV?

Headphones/Transmitter - Sentry HO800

Contour - 9865HDC

TV - LG 49UH6030

Thanks for your assistance.

You can connect your transmitter to #5 (Audio Out) in the image.  The only Audio Out I see on your LG is optical.

Update:  The image didn't load, typical.  See the image here...scroll down to Back View:

http://www.cox.com/residential/support/tv/article.cox?articleId=685eba20-cd5c-11e2-7906-000000000000#rear

Thanks, Bruce.

I figured it out and I now have sound through the wireless headphones while muting the TV sound.