
sich entschuldigen
to apologize
To ask for forgiveness for a mistake, an inconvenience, or rude behavior.
Ich möchte mich für meine späte Antwort entschuldigen.
I would like to apologize for my late reply.
to apologize / excuse
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to apologize
To ask for forgiveness for a mistake, an inconvenience, or rude behavior.
Ich möchte mich für meine späte Antwort entschuldigen.
I would like to apologize for my late reply.

to excuse someone
To justify or explain a person's absence so that they do not suffer any disadvantages.
Die Lehrerin hat den kranken Schüler für den heutigen Tag entschuldigt.
The teacher excused the sick student for today.

to excuse something
To present a mistake or omission as not so serious or as understandable.
Seine Unerfahrenheit entschuldigt sein ungeschicktes Vorgehen nur teilweise.
His inexperience only partly excuses his clumsy approach.

Excuse me
A polite phrase used to get attention, interrupt someone, or ask for space.
Entschuldigen Sie, können Sie mir sagen, wie spät es ist?
Excuse me, can you tell me what time it is?
The verb is made up of 'ent-' and 'Schuld' (guilt/fault). The prefix 'ent-' often means 'to take away' or 'to remove.' So 'entschuldigen' (to apologize/excuse) literally means to take the guilt or blame away from someone.
Kannst du mein Fehlen bei der Sitzung bitte entschuldigen?
Can you please excuse my absence from the meeting?
The meaning changes depending on the object: 'sich entschuldigen' (reflexive) means to ask for forgiveness. 'Jemanden entschuldigen' (accusative object: person) means to justify an absence. 'Etwas entschuldigen' (accusative object: thing) means to justify a mistake.
Er entschuldigt sich für sein Verhalten.
He apologizes for his behavior.
When apologizing for something, you use the preposition 'für' followed by the accusative. To apologize to a person, use 'bei' with the dative.
Ich entschuldige mich für die Verspätung.
I apologize for the delay.
The imperative form 'Entschuldigen Sie' (Excuse me; formal) or 'Entschuldige' (Excuse me/Sorry; informal) is a fixed expression. It is used to politely ask a question, interrupt someone, or apologize for something small.
Entschuldigen Sie, ist dieser Platz noch frei?
Excuse me, is this seat still free?
to justify
Someone who sich entschuldigt asks for forgiveness after making a mistake or being rude. Someone who sich rechtfertigt, by contrast, defends their own behavior and explains the reasons for it, usually in response to criticism. Choose entschuldigen for asking forgiveness and rechtfertigen for defending oneself.

Nach seiner Verspätung entschuldigte er sich bei seiner Kollegin.
After being late, he apologized to his colleague.
Nach der Kritik rechtfertigte er seine Verspätung mit einem Unfall auf der Straße.
After the criticism, he justified his lateness by explaining that there had been an accident on the road.