Final answer:
The ngAfterContentChecked method in Angular is used to respond to changes in content within directives after each check performed by Angular's change detection mechanism.
Step-by-step explanation:
The primary purpose of the ngAfterContentChecked method in Angular is b) Respond to content changes in directives. This lifecycle hook is called after the default change detector has completed checking all the content of a directive. It is invoked every time the content children are checked by the change detection mechanism. This allows for custom behavior to be implemented after Angular has checked the content projected into the directive or component.
For instance, if there are components or directives that are projected inside another component via ng-content, and you want to execute some code after Angular has checked their content for changes, this method would be an appropriate place to do so. It's important to use this lifecycle hook with care, as it can be triggered frequently, which could lead to performance issues if not managed efficiently.