Do you think that anger can be addictive?
If by addictive you mean the person falls into a pattern that is hard to break, then the answer is yes. People can fall into behaviors that involve temper, harsh language, and an adrenaline rush. People who have this pattern can be helped by seeing what in the past has led to an original anger. If it is an injustice, then forgiveness is appropriate. Next, the person needs to examine any sense of entitlement or even narcissism that fuels the anger and keeps it going. After that, the person needs to examine courageously who has been hurt by the anger-pattern and seek forgiveness from those who have been hurt by the pattern.
Learn more at Learning to Forgive Others.