Recall that a SECANT is a line that crosses a circle at 2 distinct points. [br][br]In the applet below, 2 secants are drawn to the circle from the SAME POINT OUTSIDE THE CIRCLE. [br]These 2 secants intercept the [b][color=#c51414]red arc[/color][/b] and [b][color=#0a971e]green arc[/color][/b]. [br][br]Experiment with the applet below for a few minutes and then answer the questions that follow. [br]Be sure to move the [color=#c51414]BIG RED POINTS[/color] and [color=#0a971e]BIG GREEN POINTS[/color] around to change the measures of the 2 arcs intercepted by these 2 secants.[br][br]You can also move the vertices of the two inscribed angles as well. The [b][color=#c51414]red inscribed angle intercepts the same red arc[/color][/b] that the secant lines intercept. The [color=#0a971e][b]green inscribed angle intercepts the same green arc[/b][/color] the the secant lines intercept.

The purple angle (you see when you drag the slider to the end) is called an angle formed by two secants. [br]Given what you've just observed, answer the following questions: [br][br]Suppose the red arc measures 150 degrees and the green arc measures 80 degrees. If this were so, [br][br]1) What would the measure of the [color=#c51414]red inscribed angle[/color] be?[br]2) What would the measure of the [color=#0a971e]green inscribed angle[/color] be?[br]3) What would the measure of the purple angle be? [br][br]Suppose the red arc measured 120 degrees and the green arc measures 30 degrees.[br][br]4) What would the measure of the [color=#c51414]red inscribed angle[/color] be?[br]5) What would the measure of the [color=#0a971e]green inscribed angle[/color] be?[br]6) What would the measure of the purple angle be? [br][br]From your observations, [b]describe how to find the measure of an angle formed by two secant rays[/b]. Be sure to use the phrase [b]"intercepted arc(s)"[/b] at least once in your description. Please be as specific as you can.