Final answer:
The equipment that Angela hides during the "Benihana Christmas" episode is the karaoke machine.
Step-by-step explanation:
The equipment that Angela hides during the "Benihana Christmas" episode is the karaoke machine. She hides the power cord to prevent the alternative party from using it. The karaoke machine is a popular party equipment that allows people to sing along to their favorite songs while following the lyrics displayed on a screen.