Using Windows libraries from Ubuntu / Linux on Windows

I recently brought up Linux on Windows. I chose the Ubuntu distribution. It works well. Really well. Really fast.

I'd like to write and build C-language programs in Linux, much the same as I did with Cygwin for many years. But I don't see the Windows header files and libraries needed for making calls to Windows core functions.

This can be done in Visual Studio. But I don't have Visual Studio. I can't afford Visual Studio. I don't have time to learn Visual Studio.

I just want use make, cc, and ld to compile and link some simple C-language programs.
Programs that just happen to make calls to Windows libraries, such as GetFileAttributes( ).
Is there a way?