
sich verfangen
to get caught
To become so tangled in something or stuck on something that one can no longer free oneself easily.
Der Drachen hat sich in den Ästen des Baumes verfangen.
The kite got caught in the branches of the tree.
to get caught / to take effect
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to get caught
To become so tangled in something or stuck on something that one can no longer free oneself easily.
Der Drachen hat sich in den Ästen des Baumes verfangen.
The kite got caught in the branches of the tree.

to get caught up in
To become so entangled in a situation, especially in lies or contradictions, that one can no longer find a way out.
Er hatte sich in einem Netz aus Lügen verfangen.
He had gotten caught up in a web of lies.

to take effect
(elevated, less common) To be effective, to have an effect. Often refers to arguments, methods, or measures.
Seine Ausreden verfingen beim Chef dieses Mal nicht.
His excuses did not take effect with the boss this time.
In its most common meanings, 'verfangen' (to get caught) is a reflexive verb and is used with 'sich'. A common mistake is forgetting the reflexive pronoun.
Die Katze hat sich im Wollknäuel verfangen.
The cat got caught in the ball of wool.
The verb 'sich verfangen' (to get caught) is almost always used with the preposition 'in' and the dative. This applies to both physical and figurative meanings.
Mein Schal hat sich in der Autotür verfangen.
My scarf got caught in the car door.
The verb is made up of the prefix 'ver-' and the stem 'fangen' (to catch). The prefix here suggests that someone or something becomes caught in something unintentionally or by accident.
Ein kleiner Vogel hatte sich im Netz verfangen.
A small bird had gotten caught in the net.
When 'verfangen' (to take effect) is not used reflexively, it means 'wirken' (to work/have an effect) or 'effektiv sein' (to be effective). This usage is elevated and less common. It often appears in negative sentences to express that an argument or method does not work.
Seine einfachen Tricks verfangen bei erfahrenen Spielern nicht.
His simple tricks do not take effect with experienced players.
to grab / take effect
Greifen and verfangen can both express that something is having an effect. Greifen is the usual, neutral choice for laws, rules, or measures. Verfangen sounds elevated and is used especially for arguments, methods, or influences that convince or affect someone.

Seine überzeugenden Argumente verfingen schließlich bei den Zuhörern.
His convincing arguments eventually won over the listeners.
Die neue Regel greift ab morgen in allen Abteilungen.
The new rule takes effect in all departments tomorrow.