Biking often brings frustrations. Do it enough, and there will be accidents. Drivers make it even more difficult and dangerous. This shouldn’t come as a surprise.
Think of cars as cows, wandering about with their own purpose. The cows don’t think about the people around them before moving. There’s no sense getting angry at cows either; they won’t even undestand the problem. Get around the cows and be ready for them to act in unexpected ways.
Here’s a book on using the ‘cow approach’ to dealing with anger: The Cow in the Parking Lot: A Zen Approach to Overcoming Anger