Old question, but for those who might stumble on it on how to enable angular routing in Netlify. Create a file _redirects in your src folder, add the following to it:
/* /index.html 200
in your angular.json file add the following to projects.architect.build.options.assets
{
"glob": "_redirects",
"input": "src",
"output": "https://stackoverflow.com/"
}
If you happen to use older version of Angular with angular.cli.json file, follow this: https://medium.com/@mgd4375/how-to-enable-angular-routing-in-a-netlify-deployment-with-the-angular-cli-e2eda69f1b5b where you do the equivalent change in angular.cli.json file, i.e add "_redirects" to the corresponding assets array.