Copy of Circumscribed (Tangent-Tangent) Angles

The vertex [math]\angle[/math]CHB is located:
What is the relationship between the central angle ([math]\angle CAB[/math])and the circumscribed angle ([math]\angle CHB[/math])? 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 [math]m\angle CHB[/math]?
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 [math]m\angle CHB[/math]?
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Information: Copy of Circumscribed (Tangent-Tangent) Angles