What is an angle and how do we measure one in degrees?
The Turn Counter
What is an angle and how do we measure one in degrees?

Stand up, point one arm at the door, and the other arm at your feet. See that openness between them? That gap, that spread, that "how-much-you've-turned" — that's an angle. It isn't about how long your arms are. It's purely about the turn.
Here's the key idea: an angle measures turning, not distance. Imagine two pencils joined at their ends, like the hands of a clock pinned at the center. Keep them touching and there's no turn at all. Swing one pencil away, and you've opened an angle. The further you swing, the bigger the angle.
