This is the 435th most frequent Danish word.
vestlige
"Vestlige" in English means "western."
In this sentence, 'vestlige' is used as an adjective describing 'lande' (countries), referring to countries located in the western part of the world.
De vestlige lande har stor indflydelse på verdensøkonomien.
The western countries have a great influence on the world economy.
Here, 'vestlige' again functions as an adjective, describing 'del' (part) to indicate the location in the western area of the city.
Hun bor i den vestlige del af byen, som er meget fredelig.
She lives in the western part of the city, which is very peaceful.
In this example, 'vestlige' is used as an adjective for 'kultur' (culture), referring to the cultural characteristics typically associated with western regions.