Tonight's supper is western style pot‐au‐feu.
A refined western-style song was played in a western style cafe.
My house is entirely furnished in the Western style, so there are no tatami mats.
Remember how 風 can mean "style" as in 和風? Well, this is now Western style style, more simply put as Western style.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.