die Wut
anger
A very strong, intense feeling of anger and outrage.
Er war so voller Wut, dass er zitterte.
He was so full of anger that he was shaking.

anger
Loading your saved state.
anger
A very strong, intense feeling of anger and outrage.
Er war so voller Wut, dass er zitterte.
He was so full of anger that he was shaking.

The noun 'die Wut' (anger) describes the feeling, while the adjective 'wütend' (angry) describes the person who has this feeling. Both words have the same stem.
Er war so wütend, dass seine Wut kaum zu kontrollieren war.
He was so angry that his anger was barely controllable.
To express whom or what you are angry at, use the preposition 'auf' followed by the accusative. Alternatively, you can also use 'Wut über + accusative' (anger about/over).
Sie hatte eine riesige Wut auf ihren Chef.
She had enormous anger toward her boss.
'Wut' (anger) is often combined with vivid expressions to show the strength of the feeling. Typical phrases are 'vor Wut kochen' (to be boiling with anger), 'Wut im Bauch haben' (to have anger in one's belly), or 'blind vor Wut sein' (to be blind with rage).
Als er die Nachricht hörte, kochte er vor Wut.
When he heard the news, he was boiling with anger.
In the idiom 'seine Wut an jemandem auslassen' (to take one's anger out on someone), the structure is fixed. The person who is the target of the anger is always in the dative.
Bitte lass deine Wut nicht an mir aus!
Please don't take your anger out on me!
quiet / calm
'die Ruhe' and 'die Wut' often stand as opposites for an inner state. 'Ruhe' means that someone stays calm and does not get stressed or agitated. 'Wut' is a strong feeling of anger and can lead someone to become loud or unfair. In difficult situations, people therefore say 'Ruhe bewahren' (to keep calm) when you are supposed to control yourself. 'Wut', on the other hand, describes anger that has become very strong.

Nach dem Streit konnte Max seine Wut kaum verbergen.
After the argument, Max could barely hide his anger.
Trotz der schlechten Nachricht bewahrte Frau Becker die Ruhe.
Despite the bad news, Ms. Becker kept calm.