Copy of Circumscribed (Tangent-Tangent) Angles

The vertex CHB is located:

What is the relationship between the central angle ()and the circumscribed angle ()? Move points A, B, and C to test whether the relationship always holds true.

Find the difference between arc CEB and arc CB? How does this number compare to the ?

If you let arc CEB be represented by x and arc CB represented by y, what would be a formula you could use to find ?