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<body ng-app="TestApp" ng-controller="Test">
  <ul>
    <li ng-repeat="o in array">
      <div id="name">{{ o.name }}</div>
      <div id="remove" ng-bind-html="o.remove"></div>
    </li>
  </ul>
  <fieldset>
    <input ng-model="inputname">
    <button ng-click="addRow(inputname)">Add row</button>
  </fieldset>
</body>

angular.module('TestApp', []).controller("Test", function($scope, $sce) {
     $scope.array = [{name: "Test1"},{name: "Test2"},{name: "Test3"},{name: "Test4"}]

     $scope.addRow = function(name){
      var a = { name: name,
      remove: $sce.trustAsHtml("<button ng-click='removeRow($index)' </button>")
    }
     $scope.array.push(a)}
     $scope.remove = function(index) {
      $scope.array.splice(index, 1)}
    })