Angular2 Component @Input two way binding

For [(toggled)]="..." to work you need

  @Input() toggled: boolean;
  @Output() toggledChange: EventEmitter<boolean> = new EventEmitter<boolean>();

  changeValue() {
    this.toggled = !(this.toggled); 
    this.toggledChange.emit(this.toggled);
  }

See also Two-way binding

[UPDATE] - 25 June 2019
From @Mitch's comment below:
It's worth noting that the @Output name must be the same as the @Input name, but with Change on the end. You can't call it onToggle or something. It's a syntax convention.

Although the question has more than 2 years old I want to contribute my 5 cents...

It isn't a problem about Angular, its about how Javascript works... Simple variables (number, string, boolean, etc) are passed by value whereas complex ones (objects, arrays) are passed by reference:

You can read more about this in Kyle Simpson´s series You dont know js:

https://github.com/getify/You-Dont-Know-JS/blob/master/types%20%26%20grammar/ch2.md#value-vs-reference

So, you can use an @Input() object variable to share scope between components without need to use emitters, observers and whatever similar.

// In toggle component you define your Input as an config object
@Input() vm: Object = {};

// In the Component that uses toggle componet you pass an object where you define all needed needed variables as properties from that object:
config: Object = {
    model: 'whateverValue',
    id: 'whateverId'
};

<input type="checkbox" [vm]="config" name="check"/>

This way you can modify all object properties and you get same value in both components because they share same reference.