Recall that a [b]CHORD[/b] is a segment whose endpoints lie on a circle.[br]In the applet below, note that the [color=#b20ea8]purple angle[/color] is formed when the two chords intersect. [br][br]This angle formed by two chords intercepts two arcs. [br][color=#c51414]One intercepted arc is red.[/color][br][color=#1551b5]The other intercepted arc is blue. [/color][br][br]There are two other angles shown as well. These are inscribed angles.[br]The [color=#0a971e]green inscribed angle[/color] intercepts the [color=#c51414]red arc[/color]. [br]The [color=#d69210]brown inscribed angle[/color] intercepts the [color=#1551b5]blue arc[/color]. [br][br]Drag the [color=#0a971e]green slider[/color] and carefully watch what happens. [br][br]Feel free to move any of the points of the circle around to change the location of the [color=#b20ea8]purple angle[/color] formed by these two chords. [br]As you move them, make sure that the 2 chords intersect each other! [br]In addition, make sure that the [color=#0a971e]green inscribed angle[/color] always intercepts the [color=#c51414]red arc[/color] and make sure the [color=#d69210]brown inscribed angle[/color] always intercepts the [color=#1551b5]blue arc[/color].[br][br]After interacting with the applet for a few minutes, please answer the questions that follow (below).

[b][color=#c51414]Questions:[/color][/b][br][br]***Recall the Inscribed Angle Theorem (you've recently learned) to answer the following questions: [br][br]1) How does the measure of the [color=#0a971e]green inscribed angle[/color] compare with the measure of its [color=#c51414]red intercepted arc[/color]? [br]2) How does the measure of the [color=#d69210]brown inscribed angle[/color] compare with the measure of its [color=#1551b5]blue intercepted arc[/color]? [br][br]***Notice how the [color=#b20ea8]purple angle formed[/color] by the 2 chords intercepts the same 2 arcs ([color=#c51414]red arc[/color] and [color=#1551b5]blue arc[/color]). [br]3) Given what you've observed in this applet, describe, in words, how you can find the measure of the [color=#b20ea8]purple angle formed[/color] by the two chords?