Uso del módulo ngSanitize para descargar html con $http

<!DOCTYPE html>
<html>

<head>
  <script data-require="angular.js@1.5.8" data-semver="1.5.8" src="https://code.angularjs.org/1.5.8/angular.js"></script>
  <script data-require="sanitize@1.4.8" data-semver="1.4.8" src="https://code.angularjs.org/1.4.8/angular-sanitize.js"></script>
  <link rel="stylesheet" href="style.css" />
  <script src="script.js"></script>
</head>

<body>
  <div ng-app="htmlApp" ng-controller="htmlCtrl">

    <div ng-bind-html="texto"></div>
    <div ng-bind-html="paginaEstatica"></div>
  </div>

  <script>
    var app = angular.module("htmlApp", ['ngSanitize']);
    app.controller("htmlCtrl", function($scope, $http) {
      $scope.texto = "El nombre es: <h1>Abc Def</h1>";
      $http.get("incluido.html")
        .then(
          function exito(response) {
            $scope.paginaEstatica = response.data;
          },
          function fallo(response) {
            $scope.paginaEstatica = response.statusText;
          }
        );
    });
  </script>
</body>

</html>

// Code goes here

/* Styles go here */
.azul{
  color:blue;
}

Uso de Sanitize para descargar Html
Usando $http

<h1 class="azul">Página estática incluida con $http</h1>