if you encounter issues in deleting content from Studio (vector data or geoservices for instance) with an error like:
HTTP 405 status code as Method Not Allowed
you probably have WebDAV enabled in IIS. It seems there is a conflict between the Extension-less URL Handler and WebDAV because of additional HTTP methods added to the first one. This is the source of info.
The most simple way to resolve the issue is by removing WebDAV from the IIS configuration (Windows features or Web server role features depending on your OS).