Chord - Chord Angles

Final Angle of a Circle!

Here's your next angle! The vertex is INSIDE the circle, but not at the center. How is the angle created? 1. The new angle you need to find the measure for is angle CFB. 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. How did they get that answer? It isn't half the measure of the intercepted arc. But there are two intercepted arcs, take a guess as to what the possible relationship could be. 5. I bet you thought you were catching on, but angle CFB is a chord-chord angle. It does not have the same properties as a vertex which is outside the circle. What do you think the relationship is between angle CFB and the intercepted arcs? 6. What do you know about angle DFE?