Another Angle ON the Circle

Here's your next angle! The vertex is still on the circle, but how is the angle created?

1. What is the measure of the central angle? What is the measure of the inscribed angle? 2. The new angle you need to find the measure for is angle ECB. What type of lines create the angle? 3. What do you think is the measure of this angle? Click on the box to see if you were correct! 4. Angle ECB is called a [b]tangent-chord[/b] angle. What can you conclude about the relationship between and tangent-chord angle and it's intercepted arc CB?