Difference between Angry and Indignant

ANGRY vs INDIGNANT: ADJECTIVE

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

Angered at something unjust or wrong
Characterized by or filled with indignation. : angry.
Affected with indignation; wrathful; passionate; irate; feeling wrath, as when a person is exasperated by unworthy or unjust treatment, by a mean action, or by a degrading accusation.
Showing anger or indignation, especially at something unjust or wrong.

In medicine, inflamed, as a sore; exhibiting inflammation.
= Syn. 3, 4, 5. Indignant, incensed, passionate, resentful, irritated, wrathful, irate, hot, raging, furious, stormy, choleric, inflamed, tumultuous.
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.
Sharp; keen; vigorous.
Causing grief or trouble; troublesome; vexatious; trying.

Affected with indignation; moved by mixed emotions of anger and scorn; provoked by something regarded as unjust, ungrateful, or unworthy.
Synonyms Incensed, provoked, exasperated.

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

Undignified, Disgruntled, Contemptible, Shocked, Angered, Appalled, Furious, Disgusted, Infuriated, Enraged, Exasperated, Umbrageous, Outraged, Incensed, Angry

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

Undignified, Disgruntled, Contemptible, Shocked, Angered, Appalled, Furious, Disgusted, Infuriated, Enraged, Exasperated, Umbrageous, Outraged, Incensed, Angry

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.