der Urlaubstag
vacation day
A single day on which you are released from work in order to rest or travel.
Ich nehme mir morgen einen Urlaubstag, um ein paar Dinge zu erledigen.
I'm taking a vacation day tomorrow to get a few things done.

vacation day
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vacation day
A single day on which you are released from work in order to rest or travel.
Ich nehme mir morgen einen Urlaubstag, um ein paar Dinge zu erledigen.
I'm taking a vacation day tomorrow to get a few things done.

'Urlaubstag' (vacation day) is a compound noun made from 'Urlaub' (vacation), the linking -s, and 'Tag' (day). So it literally refers to a single 'day' of 'vacation'.
Für den Umzug habe ich zwei Urlaubstage beantragt.
I requested two vacation days for the move.
In a work context, 'Urlaubstag' (vacation day) is very often used with the verb 'nehmen' (to take). Other typical verbs are 'haben' (to have), 'bekommen' (to get), or 'beantragen' (to request/apply for).
Ich muss für den Arzttermin einen Urlaubstag nehmen.
I have to take a vacation day for the doctor's appointment.
An 'Urlaubstag' (vacation day) is a countable unit. You use the word to talk about a specific number of days off from your total vacation entitlement.
Mein Chef hat mir drei zusätzliche Urlaubstage genehmigt.
My boss approved three additional vacation days for me.
vacation / leave
'der Urlaub' and 'der Urlaubstag' are both connected to time off from work. 'Urlaub' usually means the whole period or, in general, the time off that you take or are given. 'Urlaubstag' means exactly one single day of this time off. Learners may confuse the words because both occur in work contexts. For a longer period, you say 'Urlaub'. If you want to count how many individual days off you have or take, you say 'Urlaubstage' or 'ein Urlaubstag'.

Am Freitag nimmt Paul einen Urlaubstag, weil er umziehen muss.
Paul is taking a vacation day on Friday because he has to move.
Die Familie hat den Urlaub schon im Januar geplant.
The family already planned the vacation in January.