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.

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 seem / take effect
'wirken' and 'verfangen' can both mean that something has an effect. 'wirken' is general and neutral: a medication, a plan, or an argument can 'wirken' (take effect / work). 'verfangen' in this meaning is elevated and less common. It fits especially with arguments, excuses, methods, or measures, and means that they really convince someone or succeed. Learners may confuse the words because both talk about an effect. The important point is: 'sich verfangen' also has the completely different meaning of getting caught or stuck somewhere. In the meaning 'to be effective', 'verfangen' is much more specific than 'wirken'.

Seine Ausrede verfing bei der Lehrerin nicht.
His excuse did not work on the teacher.
Die Tablette wirkt schnell gegen die Schmerzen.
The tablet works quickly against the pain.