How can I trigger the click event of another element in ng-click using angularjs?

If your input and button are siblings (and they are in your case OP):

<input id="upload"
    type="file"
    ng-file-select="onFileSelect($files)"
    style="display: none;">

<button type="button" uploadfile>Upload</button>

Use a directive to bind the click of your button to the file input like so:

app.directive('uploadfile', function () {
    return {
      restrict: 'A',
      link: function(scope, element) {

        element.bind('click', function(e) {
            angular.element(e.target).siblings('#upload').trigger('click');
        });
      }
    };
});