Circle Angles Sizes

Drag around the [color=#0a971e]green[/color] and [color=#1551b5]blue[/color] dots.

What is the relation between the [color=#0a971e]green[/color] angle size and the [color=#1551b5]blue[/color] and [color=#c51414]red[/color] arc sizes? What is the relation between the different angle types - central, inscribed, interior, exterior? What theorems you know are demonstrated? What new theorems can be postulated?