Inscribed Angles Part 2

The vertex of an inscribed angle is:

at the center of the circle inside the circle on the circle outside the circle

Inscribed Angles

What is the relationship between the inscribed angle ([math]\angle CDB[/math]) and the measure of its intercepted arc (remember, the measure of the central angle is the same as the measure of its intercepted arc). Move points C, D, and B to test the relationship.

[math]\text{m\angle{CDB}+m\overset{\frown}{CB}=180}[/math] [math]\text{m\angle{CDB}=m\overset{\frown}{CB}}[/math] [math]\text{m\angle{CDB}=\frac{1}{2}m\overset{\frown}{CB}}[/math] [math]\text{m\angle{CDB}=2 m\overset{\frown}{CB}}[/math]

Information: Inscribed Angles Part 2