10B11AB Angle From 2 Secants (V2)

Interact with the applet below for a few minutes. LARGE POINTS are MOVEABLE at any time. Then answer the questions that follow.

1.

Suppose the entire pink arc measures 200 degrees and the entire blue arc measures 50 degrees. What would the measure of the manila angle be?

2.

Suppose the entire pink arc measures 250 degrees and the entire blue arc measures 150 degrees. What would the measure of the manila angle be?

3.

Suppose the entire pink arc measures 280 degrees and the manila angle measures 60 degrees. What would the measure of the blue arc be?

4.

How does the measure of the pink angle compare with the measure of the pink arc it intercepts? How do you know?

5.

How does the measure of the blue angle compare with the measure of the blue arc it intercepts? How do you know?

6.

Suppose the measure of the pink arc = x & the measure of the blue arc = y. Write an expression (containing x and or y) that give the measure of the manila angle.