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An example:

If someone comes and steps on your toe..you feel pain and say,"OUCH."

That person turns and says, "I am sorry..."

You will say, "Thats Ok." and maybe "don't do it again, be more carefull cause it hurts."

The person turns and says I am sorry...and then does it again...You get angry because the guy lied to you..for a variety of possible reasons and is dismissing you.

The tells you to go fk off...you get angry because he has dismissed your feeling of pain and not caring about your feelings.

He says, I am sorry and you still get angry...then you are not really angry with him, because he has tried to make amends...you are angry with something else and are venting at him..

The actual transgression in this case is minor, and it the dismissal of ones feeling or of oneself that is the primary cause of anger and or emotion.