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Chopped Or Strangled Riddle

You are walking when you come upon a monster. A riddle he asks you:

If you tell the truth, I will strangle you.
If you tell a lie, then I will chop your head off.

How do you get out of this matter?
Either say You will chop my head off, or say You will strangle me. For if you say, you will chop my head off he would say that it would be false. Making him chop your head off, but therefore making the statement true, so he would strangle you. But then that would make the statement false, leaving you free.
Did you answer this riddle correctly?

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