The angularjs.org site is not designed to be used by third parties. It is only kept here as part of our own deployment processes.
If you want to have a go at hosting it yourself you can try running
./build.sh
but we will not be providing support for doing this.
The site relies upon accessing numerous additional resources from all over the web.
Hint: to access the AngularJS docs application rather than this site, which is only the homepage, clone the main project and build the docs yourself...
git clone https://github.com/angular/angular.js.git
cd angular.js
npm install
grunt package webserver
Then browse to http://localhost:8000/build/docs/api