俯うつむき加か減げん

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Meanings

1

facing slightly downward; with one's head somewhat lowered

Describes a posture where the head is tilted slightly forward, often used with ～で or ～に. Common in descriptions of body language.

He was walking with his head slightly lowered.

俯うつむき加か減げんで話はなすのは自じ信しんがなさそうに見みえる。

Speaking with your head slightly down makes you look unconfident.

俯うつむく
俯く is the verb meaning 'to look down' or 'to hang one's head', while 俯き加減 is an adverbial noun describing the state of facing slightly downward.
うつむきがち
うつむきがち means 'tending to look down' or 'often with one's head down', emphasizing a habitual tendency, whereas 俯き加減 simply describes a slight downward angle.

Compound of 俯き (continuative form of 俯く 'to look down') + 加減 ('degree, adjustment'), literally 'a degree of looking down'.