Error Code 0x80080005 error code is common for all the Windows Operating systems when you try to install the updates. It usually appears when Windows 10 or Windows 7 update system is broken or there is network related issues and concerns.
Usual causes for this Error Code 0x80080005 are communication failure over the internet with Microsoft update servers.
Firstly, I will suggest you to do Windows Troubleshoot for Error Code 0x80080005.
After that,
Disable the proxy internet connection and try again to install the update.