After hours of frustrating searches I feel I need to submit my question here. I apologize in advance if this question is somehow answered before but none of my searches has
⚠️ Warning: This answer is old, does not reflect best practices, and may not be compatible with newer versions of Angular.
MaxPRafferty's answer is correct - using a function in the scope is often the nicer way to do this - but there is another option. You can use the angular.element(...).scope() method to access an Angular scope from unrelated JavaScript. Select the top-level scope for the app by targeting the element that has the ng-app attribute specified, with something like in your click handler:
function change() {
var appElement = document.querySelector('[ng-app=myApp]');
var $scope = angular.element(appElement).scope();
$scope.$apply(function() {
$scope.data.age = 20;
});
}
Try it out in this Fiddle.
Shaun just pointed out that Angular will only process any "watches" or "bindings" during a $digest() call. If you just modify the properties of the $scope directly, the changes may not be reflected immediately and you may gets bugs.
To trigger this you can call $scope.$apply() which will check for dirty scopes and update anything bound correctly. Passing a function that does the work inside $scope.$apply will allow Angular to catch any exceptions as well. This behaviour is explained in the documentation for Scope.