C:\Users>npm --v
5.6.0
C:\Users>node --version
v10.2.1
C:\Users>npm install --global @angular/cli
npm WARN optional SKIPPING OPTIONAL DEPENDENCY: fsevents@^1.2.2 (node_modules\@angular\cli\node_modules\chokidar\node_modules\fsevents):
npm WARN notsup SKIPPING OPTIONAL DEPENDENCY: Unsupported platform for fsevents@1.2.9: wanted {"os":"darwin","arch":"any"} (current: {"os":"win32","arch":"x64"})
npm ERR! path C:\Users\AppData\Roaming\npm\ng.cmd
npm ERR! code EEXIST
npm ERR! Refusing to delete C:\Users\AppData\Roaming\npm\ng.cmd: node_modules\angular-cli\bin\ng symlink target is not controlled by npm C:\Users\AppData\Roaming\npm\node_modules\@angular\cli
npm ERR! File exists: C:\Users\AppData\Roaming\npm\ng.cmd
npm ERR! Move it away, and try again.
npm ERR! A complete log of this run can be found in:
npm ERR! C:\Users\AppData\Roaming\npm-cache\_logs\2019-05-14T05_33_11_503Z-debug.log
Observei que alguns alunos tiveram o mesmo erro que eu. Desta forma eu venho mostrar onde eu consegui solucionar o problema.
https://stackoverflow.com/questions/56123695/getting-error-while-installing-angular-cli