Difference between Angry and Mad

ANGRY vs MAD: NOUN

Dark and stormy, menacing.
Displaying or feeling anger.
Red.
Sharp; keen; stimulated.
Showing anger; proceeding from anger; acting as if moved by anger; wearing the marks of anger
Touched with anger; under the emotion of anger; feeling resentment; enraged; -- followed generally by with before a person, and at before a thing.
Inflamed and painful, as a sore.
Troublesome; vexatious; rigorous.
Inflamed and painful.
Having a menacing aspect; threatening.
Indicative of or resulting from anger.
Feeling or showing anger; incensed or enraged.
Severely inflamed and painful
(of the elements) as if showing violent anger
Feeling or showing anger

Roused to anger
Very foolish
Marked by uncontrolled excitement or emotion
Affected with madness or insanity
Angry; resentful: : angry.
Mentally deranged.
Temporarily or apparently deranged by violent sensations, emotions, or ideas.
Characteristic of mental derangement.
Wildly confused or excited.
Angry, annoyed.
Insane; crazy, mentally deranged.
To pursue under the influence of infatuation or immoderate desire.
To run wildly about under the influence of hydrophobia; to become affected with hydrophobia.
Like a mad person; in a furious manner.
Having impaired polarity; -- applied to a compass needle.
Angry; out of patience; vexed.
Furious with rage, terror, or disease; -- said of the lower animals; ; esp., having hydrophobia; rabid.
Extravagant; immoderate.
Proceeding from, or indicating, madness; expressing distraction; prompted by infatuation, fury, or extreme rashness.
Excited beyond self-control or the restraint of reason; inflamed by violent or uncontrollable desire, passion, or appetite
Disordered in intellect; crazy; insane.
Abundant; great.
Feeling or showing strong liking or enthusiasm.
Marked by a lack of restraint, especially by extreme excitement, confusion, or agitation.
Exhibiting uncharacteristic aggressiveness, especially as a result of rabies, spongiform encephalopathy, or another neurological disease. Used of animals.
Excellent; wonderful.
Lacking restraint or reason; foolish.

= Syn. 3, 4, 5. Indignant, incensed, passionate, resentful, irritated, wrathful, irate, hot, raging, furious, stormy, choleric, inflamed, tumultuous.
In medicine, inflamed, as a sore; exhibiting inflammation.
Having the color of the face of one who is in anger; red.
Bearing the marks of anger; having the appearance of being in anger; frowning; fierce: as, an angry countenance; angry billows.
Characterized by or manifesting anger; wrathful: as, an angry look or mood; angry words; an angry reply.
Feeling or showing anger or resentment (with or at a person, at or about a thing): said of persons.
Feeling grief or trouble; grieved; troubled; vexed.
Causing grief or trouble; troublesome; vexatious; trying.
Sharp; keen; vigorous.

Furious from disease or other cause; enraged; rabid: said of animals: as, a mad dog; a mad bull.
Under the influence of some uncontrollable emotion.
Wildly or recklessly frolicsome: said of persons or of their acts.
Excited with immoderate curiosity, longing, admiration, or devotion; infatuated.
Proceeding from or indicating frenzy; prompted by infatuation or fury.
Synonyms Deranged, delirious, frenzied, raging.
3 . Exasperated.
P. p. of made.
Abbreviations of Madam.
Disordered in intellect; demented; crazy; insane: said of persons.
To rage; fight madly.
To be mad; go mad.
To make mad or furious; distract; enrage; madden.
(idiom) (like mad) To an intense degree or great extent.
(idiom) (hatter/March hare) Crazy; mentally deranged.
(idiom) (like mad) Wildly; impetuously.
(transitive; intransitive verb) To make or become mad; madden.

Irascible, Wrathful, Maddened, Provoked, Huffy, Mad, Angered, Infuriated, Outraged, Livid, Furious, Incensed, Indignant, Enraged, Irate

Excited, Wild, Disturbed, Harebrained, Frantic, Distracted, Delirious, Foolish, Unhinged, Huffy, Sick, Demented, Insane, Angry, Crazy

Irascible, Wrathful, Maddened, Provoked, Huffy, Mad, Angered, Infuriated, Outraged, Livid, Furious, Incensed, Indignant, Enraged, Irate

Excited, Wild, Disturbed, Harebrained, Frantic, Distracted, Delirious, Foolish, Unhinged, Huffy, Sick, Demented, Insane, Angry, Crazy

In this sense, angry exchange helps in most cases to move the plot forward because angry emotion provides important drive for selfexpression and action.
Do you believe that, as the president has said, Mueller is an angry Democrat leading other angry Democrats in a witch hunt?
Visions of angry saints and an angry Christ tormented him; he believed he was damned to HELL.
You sound extremely angry and angry people do not make wise decisions nor say wise things.
When someone is angry and complains, it is easy to become angry yourself.
LIWC angry words were moderately positively correlated with angry language, as expected.
When angry, count ten before you speak; if very angry, a hundred.
Godly people are angry when God is angry.
Bartleby is also angry, angry at being deprived.
Ibrahim would say to them: Verily, my Lord is today angry as He had never been angry before and would never be angry afterwards.

MAD library functions which sit on top of the user MAD modules in the kernel.
Also, even if you pay MAD, interest is charged on the total amount due which will include MAD as well.
They include classic scratch cards such as Venetian Rose, Mad Mad Monkey, Gorilla Go Wild and many others.
That rumor has been going around for years, and it makes me mad, plain mad!
United States, James Madison and commonly referred to as Mad City or Mad Town.
Some things made him get mad, but he never got mad at me.
Porchia p One mad action is not enough to prove a man mad.
The creatures there are mad; the cat is mad; she is also mad; otherwise, she would not be there.
If bitten by a mad dog, I will definitely go mad.
Mommy and Daddy are mad, really mad, so mad.