To say “I am angry” is a powerful use of language that is a defining statement, and I want you to get a feel for it.

That is a tree. I saw a bird. I am human. I am angry. I am a failure.

Do you feel how powerfully defining it is?
When you say, “I feel angry” or “I feel like a failure” you are acknowledging in a small but important way that you are not defined by your feelings.