Dynamically creating an angular view

I'm making an in game UI using awesomium, at some points the game loads up and executes a chunk of javascript which is meant to create arbitrary new UI elements. e.g.

jQuery(document.body).append('<span class="game-status-alert">You Lose!</span>');

That works nicely, the problem comes when I want to create some slightly more advanced UI elements, specifically using angular. For example something like:

function ChatBoxControl($scope) { /* Stuff */ }

jQuery(document.body).append(
    '<div ng-controller="ChatBoxControl"><div ng-repeat="line in chat"><span>{{line}}</span></div></div>'
);

Not surprisingly, this does not create a new angular view. It simply adds that html to the document and never binds to the ChatBoxControl.

How can I achieve what I'm trying to do here?