They are not synonymous, nor inherently causal, with one predicating the other. Anger is necessary for survival, while violence threatens survival. Men are not born violent. They learn it at an early age, as an acceptable response to a variety of stimuli. Then they practice what they've learned until it becomes an automatic response, a predictable pattern.
Violent displays can represent a rite of passage into manhood.
When they are unsuccessful, they feel that they have failed. The vast majority chooses sports or hard physical labor as acceptable outlets for anger. There are a multitude of healthy ways for men to release energy to prevent the explosion that might harm themselves or others. This does little, however, to address the cause. Much of the work I have done with men has been to teach them to recognize anger as a secondary emotion, find healthy ways to express it, and look for what's underneath.