Vexed means "difficult and much debated." If your family is having trouble coming to an agreement about where to go on vacation next summer, your holiday trip has become a vexed issue.

When people can't resolve an issue or find a solution, it is a vexed problem — one that's become complicated because of differing and probably strong opinions. Vexed can also describe being irritated. If you borrowed your sister's car without asking permission, and if she had a fancy way of putting things, she might tell you she's incredibly vexed with you right now.

Definitions of vexed
  1. adjective
    troubled persistently especially with petty annoyances
    “the vexed parents of an unruly teenager”
    synonyms: annoyed, harassed, harried, pestered
    characterized by or indicative of distress or affliction or danger or need
  2. adjective
    causing difficulty in finding an answer or solution; much disputed
    “the vexed issue of priorities”
    “we live in vexed and troubled times”
    difficult, hard
    not easy; requiring great physical or mental effort to accomplish or comprehend or endure
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