Angular is a front-end framework and In order to store user information, you should probably have a back-end connected to your app (NodeJS or Java), or else, you can use Firebase.
If you have a back-end, for an example, say java, You can connect your Java Back-end with SQL Server and store passwords there.
But as I understand, what you need to implement is a small authentication system for your app. In this case, Firebase is the easiest solution. You can do this with the help of AngularFire. Follow this tutorial.
solved How to store user information in database in Angular 2?