The best way to learn proper English is to read news report, and watch news on TV. Watching TV shows is a great way to learn casual English, slang words, understand culture reference and humor. If you have already watched these shows then you may recall the words used in the following dialogs.

And your carotid ARTERY
is just one shaky scalpel away...
The Big Bang Theory Season 8, Episode 9

Or... l could nick this ARTERY in your leg.
Game of Thrones Season 2, Episode 2