Recall that a line is said to be [b]TANGENT[/b] to a circle if and only if it intersects the circle at exactly one point. [br][br]In the applet below, 2 tangent rays are drawn to a circle.[br]These tangents have the same endpoint located outside the circle. [br][br]You can move the [b]BIG PURPLE POINT[/b] around to change the measure of this angle formed by these 2 tangent rays. [br][br]Note that these two tangent rays intercept two arcs of the circle: a [b][color=#c51414]red arc[/color][/b] and a [b][color=#0a971e]green arc[/color][/b]. [br][br]You can also move the vertices of the two inscribed angles as well. The [color=#c51414]red inscribed angle[/color] intercepts the same [color=#c51414]red arc[/color] that the tangent rays intercept. The [color=#0a971e]green inscribed angle[/color] intercepts the same [color=#0a971e]green arc[/color] the the tangent rays intercept. [br][br][br]Mess around with the applet below by sliding the slider slowly for a few minutes and then answer the questions that follow.

[b]Questions: [/b][br][br][color=#c51414][br]Suppose the red arc measures 300 degrees. [/color][br][color=#0a971e]1) What would the measure of the green arc be?[/color][br]2) What would the measure of the purple angle be? [br][br][color=#0a971e]Now suppose the green arc measures 90 degrees. [/color][br][color=#c51414]1) What would the measure of the red arc be?[/color][br]2) What would the measure of the purple angle be?[br][br]Explain how you can find the measure of an angle formed by two tangents drawn to a circle from a point outside the circle. [br]Be sure to use the term(s)[b] "intercepted arc(s)"[/b] at least once in your description. [i]Be specific![/i]