* "Fâché": This means angry or upset.
* "Fâche": This is the third person singular present indicative of the verb "fâcher", meaning to annoy or to upset.
To figure out which word you meant, you need more context.
For example, if you saw "Il est fache", then it should be "Il est fâché", which means "He is angry".
If you saw "Cela me fache", then it should be "Cela me fâche", which means "That annoys me".