The ASUS "ROG STRIX B550-A GAMES (AM4, AMD B550, ATX)" motherboard is compatible with the AMD Ryzen 5 5600X processor. Here are the key points:

- Processor compatibility: The motherboard supports 3rd, 4th and 5th generation Ryzen processors, including the Ryzen 5 5600X.

- Performance with the RTX 4060: The motherboard offers several features that make it perform well with a graphics card like the NVIDIA GeForce RTX 4060. It has PCIe 4.0 connectivity for fast data transfers and a robust power supply to support high-performance components. What's more, it includes advanced cooling and power management features, ensuring optimum stability and performance for games and demanding applications.

In summary, the "ROG STRIX B550-A GAMES" is well suited for configuration with a Ryzen 5 5600X and an RTX 4060, offering a solid combination for gaming performance and demanding applications.