Interrupts improve responsiveness by allowing the microcontroller to stop its main program when a specific event happens, like a signal on a pin. When this event occurs, the microcontroller pauses the main code and runs a small function called an Interrupt Service Routine (ISR). This ISR can quickly set a flag or handle the event. After the ISR finishes, the main program continues. This way, the program does not have to constantly check for events and can react immediately when needed. Variables shared between the ISR and main program should be declared volatile to ensure the program always reads the latest value. This method makes the program faster and more responsive to real-world signals.