Angry Kaomoji
Kaomoji for irritation through to fury. Anger can be marked outside the face as well as inside it, and these are sorted by which mark is doing it.
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Anger gets marked outside the face
Most moods in this form are built from eyes and a mouth. Anger has a second option: a mark added above or beside the face — a cross-shaped bulge at the temple, read as a popped vein. The mark is written at full width as ＃, and also as ♯, as ╬ out of the box-drawing block, and as ҂, a Cyrillic numeric sign that happens to be a stroke with two crossbars. All four are the same gesture at different weights.
Because the mark is external, it can be bolted onto a face that is otherwise perfectly pleasant. (＃＾ω＾) is an unmodified happy face — arch eyes, small closed mouth — with a vein above it, and the contradiction is the point: the face is smiling and furious at once.
The accent pair, reversed
Set ｀ before the eyes and ´ after them and the brows lift at the outer edge and drive down toward the nose. That is the anger position, and it is the exact mirror of the arrangement used on the sad page, where the acute comes first. Nothing else in (｀Д´) is angry; take the accents off and you have a face with its mouth open.
CJK characters used as teeth
Two CJK characters do most of the mouth work here, and neither is being used for its meaning. 益 gives a wide mouth with horizontal bars across it, which reads as clenched teeth. 皿 is flatter and wider, a snarl rather than a clench. 凸 is not a mouth at all. The character is a block with a bump on top, and placed outside the brackets like a hand it reads as a raised middle finger.
Eyes that do not blink
ಠ, a Kannada letter, gives a hard unmoving eye, and the faces built on it read as disapproval or rage. ▼ works differently: it is a solid triangle sitting where the brow would be, driving the eye down. ﾒ, half-width katakana, is a knot above the eye — the brow tied off. Most of these eyes stay open. (≧皿≦) and (＃＞＜) are the exceptions, and they are screwed shut by force rather than closed in comfort.
Arms and momentum
The louder faces put both hands up with ヽ ﾉ, or push the same hand twice — (ﾉ｀Д´)ﾉ — so the whole figure appears to lunge. The escalation is the table flip, where the same arms stay attached and an object gets thrown across the line. Σ placed in front of a face marks the jolt, the moment the anger arrives.
The kaomoji index covers the shared vocabulary, and comparing any face here with its equivalent on the happy page shows how little has to change. The same territory sorted in Japanese, by which symbol is carrying the anger, is at 怒る顔文字.