How do I toggle an ng-show in AngularJS based on a boolean?

You just need to toggle the value of "isReplyFormOpen" on ng-click event

<a ng-click="isReplyFormOpen = !isReplyFormOpen">Reply</a>
 <div ng-show="isReplyFormOpen" id="replyForm">
   </div>

Basically I solved it by NOT-ing the isReplyFormOpen value whenever it is clicked:

<a ng-click="isReplyFormOpen = !isReplyFormOpen">Reply</a>

<div ng-init="isReplyFormOpen = false" ng-show="isReplyFormOpen" id="replyForm">
    <!-- Form -->
</div>