Your JSFiddle is not using Angular at all so there’s no code doing anything with your DIV. You have to reference the framework in order to use it.
Add a <SCRIPT>
reference to angular.js and then do something like this:
<div ng-app> <!-- this initializes angular and hooks the framework -->
AAAA
<div ng-show="false">
XXXXX
</div>
BBBBBBB
</div>
I forked your JSFiddle so you can see it working.
solved Why doesn’t most simple case of Angular’s ng-show work?