You can use ngHide directive. In Example added a property hide, ngHide will hide li if this property is true.
HTML
<li ng-repeat="fruit in fruits" ng-hide="fruit.hide">
<p>{{fruit.name}}</p>
<button ng-click="hideMe(fruit)">hide li</button>
</li>
Angularjs Method
$scope.hideMe = function (fruit) {
fruit.hide=true;
alert('hide this li');
};