A Full Stack Angular Developer is a software engineer who specializes in using Angular for front-end development and a compatible set of technologies for back-end development. Angular, a TypeScript-based open-source web application framework, is maintained by Google and is known for its ability to build dynamic, efficient, and sophisticated single-page applications (SPAs).

Front-End Skills and Technologies:

1. Angular: Proficiency in Angular is key. This includes understanding of core concepts like components, modules, services, routing, and dependency injection.
2. TypeScript: Since Angular is built on TypeScript, a strong grasp of this typed superset of JavaScript is essential.
3. HTML, CSS, and JavaScript: Fundamental technologies for web development. Knowledge of HTML5 and CSS3 is crucial.
4. Responsive Design: Skills in responsive web design, possibly with frameworks like Bootstrap or Material Design.
5. RxJS: Understanding of reactive programming, particularly the use of Observables provided by RxJS, which is integral to Angular.
6. State Management: Familiarity with state management libraries and concepts, especially as they pertain to Angular applications (e.g., NgRx or Akita).

Back-End Skills and Technologies:

1. Server-Side Language: Proficiency in at least one server-side programming language, such as Node.js, Python, Java, C#, or PHP.
2. Database Management: Experience with databases, both SQL (like PostgreSQL, MySQL) and NoSQL (like MongoDB).
3. API Development: Ability to develop RESTful or GraphQL APIs for the front-end to consume.
4. Authentication and Authorization: Knowledge of implementing secure authentication and authorization practices.