One of many advantages of using angular is that this is an all in one package, this has templates, models, controller, modules, a router, a jQuery lite, a kind of RequireJS with which controller or modules use only the necessary, and its default directives, filters, and services. Also, it is fully extensible and works well with other libraries.
Indisputably the functionality that you can take more advantage, and you will love, is its Two-Way binding. When you create models in the view this is automatically created in the controller and vice versa, and if the model changes in the view this automatically changes in the controller and vice versa. This is known as the Model-View-View Model (MVVM) design pattern.
Angular is very flexible, you can use MVVM, or use another design pattenr as Model-View-Controller (MVC), or Model-View-Whatever (MVW), but it will always have this advantage, the Two-Way binding. http://docs.angularjs.org/guide/dev_guide.templates.databinding
Client Side App:
When you create an application using angular, this app is 100% client side controlled, this means that all images, HTML templates, css, or js files, are only downloaded once. This is another advantage, because if the user hit a link, this doesn´t reload all the page, with the images, css, and js files, this only downloads the HTML template required for the new view and the data that is needed. This makes the applications faster, and saves a lot of requests to the server.
All the routes in the app have an URL that can be configured in the routerProvider. This allows articles or views to be shared easily on social networks or any other site on the web.