Does JavaScript have a mechanism for determining the line number of the currently executing statement (and if so, what is it)?
Purely one can't get the line number out of Error.stack, because in Angular the line number is the line number of the compiled code. But one can get the info in which method the error was created. The class Logger in this code snippet add this piece of information to a new logbook entry.
https://stackblitz.com/edit/angular-logger?file=src/app/Logger/logger.ts