edgood  —  Grammar Tips
Yes, the word mad does mean “angry or wrathful.” It also means “demented, insane.” Various other meanings include “ferocious” (a mad dog), “extremely foolish” (a mad scheme), “excessively fond or infatuated” (mad about the opera), and others.

But many people believe that mad does not mean “angry.”

It does.

Example: The loud barking dog next door makes me mad.