I want to design Angular 6 application for PCI-DSS compliance. Is it a good idea to use it having in mind that this is a client-side application with a server back-end? Do you know if there any company which already uses it for applications with high security?
PCI DSS doesn't care about your framework, it cares about how you handle credit card details. It spans across your front and backend services. If you're not familiar with PCI-DSS the most cost effective way may be to use a third-party payment provider (e.g. PayPal) rather than implementing your own.