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Anger vs Incense vs Enrage vs Infuriate vs Madden

Anger, incense, enrage, infuriate and madden all these verbs carry in common with anger, their general term, the denotation to make angry or to rouse to anger.

  • laugh then at any, but at fools or foes; these you but anger, and you mend not those
    Pope
  • angered by his son's repeated disobedience

Incense implies hotness of anger, especially as provoked by something excessively irritating and offensive

  • Mr. Critchlow, aged and unaccustomed to interference, had to render accounts of his trusteeship to this young man, and was incensed
    Bennett
  • magistrates and populace were incensed at a refusal of customary marks of courtesy and respect for the laws
    Inge

Enrage suggests a violent display of wrath or fury.

  • I pray you, speak not . . . question enrages him
    Shak.

Infuriate may imply a sense of being outraged or sometimes no more than of being thoroughly irritated or exasperated.

  • how it infuriates a bigot, when he is forced to drag into the light his dark convictions!
    L. P. Smith
  • his colleagues and his subordinates had been alternately delighted and infuriated by his assumed reluctance to deal with any practical question
    Sackville-West

Madden is often not distinguishable from infuriate.

  • can it be fancied that Deity ever vindictively made in his image a mannikin merely to madden it?
    Poe

Like the former it may imply merely excessive annoyance or vexation.

  • maddening delays