Central Angles vs Inscribed Angles

Thinking Questions:

What do you notice about central angles? What do you notice about inscribed angles? Are there any connections between the central angle and the inscribed angle shown? If you knew the central angle, could you calculate the measure of the inscribed angle? If you knew the inscribed angle, could you calculate the measure of the central angle?

Arc Measure

What do you notice about the arc CB? What information would you need to calculate (or know) the measure of arc CB?