Antonyms of adj high-handed

1 sense of high-handed

Sense 1
cavalier, high-handed -- (given to haughty disregard of others)

INDIRECT (VIA domineering) -> submissive -- (inclined or willing to submit to orders or wishes of others or showing such inclination; "submissive servants"; "a submissive reply"; "replacing troublemakers with more submissive people")

Similarity of adj high-handed

1 sense of high-handed

Sense 1
cavalier, high-handed -- (given to haughty disregard of others)
       => domineering (vs. submissive) -- (tending to domineer)

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