
die Angel
fishing rod
A device for catching fish, typically consisting of a rod, a line, and a hook.
Er saß stundenlang mit seiner Angel am Ufer und wartete auf einen Biss.
He sat for hours on the riverbank with his fishing rod, waiting for a bite.
fishing rod / hinge
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fishing rod
A device for catching fish, typically consisting of a rod, a line, and a hook.
Er saß stundenlang mit seiner Angel am Ufer und wartete auf einen Biss.
He sat for hours on the riverbank with his fishing rod, waiting for a bite.

hinge
The hinge, that is, the movable connection on which a door or gate is attached and turns.
Die schwere Eichentür wurde aus den Angeln gehoben, um sie zu reparieren.
The heavy oak door was lifted off its hinges in order to repair it.

to upend something
A fixed expression meaning to fundamentally shake up a system, order, or situation or throw it completely into disarray.
Die digitale Revolution hat die gesamte Musikindustrie aus den Angeln gehoben.
The digital revolution upended the entire music industry.
The main meaning of 'die Angel' (fishing rod) is closely connected to the verb 'angeln' (to fish). If you know the verb, you can easily remember the noun.
Am Wochenende gehen wir oft am See angeln.
On weekends we often go fishing at the lake.
The context makes the meaning clear. Words like 'Fisch' (fish), 'See' (lake), or 'Köder' (bait) point to the fishing equipment. Words like 'Tür' (door), 'Tor' (gate), or 'Scharnier' (hinge) point to the door hinge.
Er befestigte einen neuen Köder an seiner Angel.
He attached a new bait to his fishing rod.
In the context of fishing, 'Angel' is often combined with certain verbs. Typical ones are: 'die Angel auswerfen' (to cast the fishing rod), 'mit der Angel fischen' (to fish with a rod), or 'einen Fisch an der Angel haben' (to have a fish on the line).
Geduldig warf der Fischer seine Angel immer wieder aus.
Patiently, the fisherman cast his fishing rod again and again.
The idiom 'etwas aus den Angeln heben' means to completely destroy or disrupt an existing order or system. The structure is fixed.
Die Erfindung des Internets hat viele Branchen aus den Angeln gehoben.
The invention of the internet upended many industries.
joint
Both words can refer to a movable connection between parts. Angel is more specific and refers especially to the hinge of a door or gate with a fixed axis of rotation; Gelenk is the broader technical term. Use Angel for doors and gates, and Gelenk for machine connections.

Die alte Tür hängt nur noch an einer Angel und lässt sich schwer bewegen.
The old door is hanging on only one hinge and is difficult to move.
Das Gelenk der Maschine verbindet die beiden Teile und ermöglicht ihre Bewegung.
The joint connects the two parts of the machine and allows them to move.