Creation of this applet was inspired by a [url=http://www.gogeometry.com/problem/p182_overlapping_circles_angle.htm]post[/url] from [url=https://twitter.com/gogeometry]Antonio Gutierrez[/url] (GoGeometry). [br][br]Feel free to move any of the [b]LARGE POINTS[/b] at any time. [br][br]Interact with this applet for a few minutes. After doing so, please answer the questions that follow.
What is the measure of the [b][color=#38761d]green angle[/color][/b]? Explain how you know this to be true.
What is the measure of the [b][color=#ff00ff]pink angle[/color][/b]? Explain how you know this to be true.
[b][color=#ff00ff]How can we formally prove the measure of the inscribed angle (at the end) is what is is? [br]Why does this value ALWAYS REMAIN INVARIANT? [/color][/b]