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The word 下台 is formed by combining the character 下, meaning "down" or "descend", with 台, meaning "platform" or "stage". Literally, it denotes the physical act of stepping down from a raised platform. This literal sense is directly applied as a metaphor to mean leaving a position of authority, such as resigning or being removed from office, thus forming the compound word with its figurative meaning.

Word Definition - 下台

xià tái to go off the stage; to fall from position of prestige; to step down (from office etc); to disentangle oneself; to get off the hook