FIrst, decide your router source strategy. It can either come from a get query _url variable, or from the global $_SERVER[REQUEST_URI] variable.
I usually use the second approach:
in your router service setup
$router = new Router();
$router->setUriSource(Router::URI_SOURCE_SERVER_REQUEST_URI);
nginx:
server {
    listen      80;
    server_name localhost.dev;
    root        /var/www/your-project/ng-app;
    index       index.html index.htm;
    charset     utf-8;
    location / {
        try_files $uri $uri/ /index.html; # <- this will route all 404 pages to your index.html inside the ng-app folder
    }
    location ~ \.php$ {
        root /var/www/your-project/api/public; # <- changes root dir for php files
        try_files     $uri =404;
        fastcgi_pass  127.0.0.1:9000;
        fastcgi_index /index.php;
        include fastcgi_params;
        fastcgi_split_path_info       ^(.+\.php)(/.+)$;
        fastcgi_param PATH_INFO       $fastcgi_path_info;
        fastcgi_param PATH_TRANSLATED $document_root$fastcgi_path_info;
        fastcgi_param SCRIPT_FILENAME $document_root$fastcgi_script_name;
    }
    location ~ /\.ht {
        deny all;
    }
}