Motorcycle racers lean at seemingly impossible angles without falling due to physics and skill. They use a technique called countersteering, where they push the handlebar in the opposite direction of the turn which leans the bike into the turn. Tires designed for racing also play a crucial role, as they are generally wider and softer, providing more grip. The rider's skill in managing their body weight and maintaining balance is also essential. It's a thrilling dance between rider and machine, all governed by the laws of physics.