Cyclic Quadrilateral: Proof Hint

In the applet below, feel free to move the [b]LARGE POINTS[/b] anywhere you'd like [b]AT ANY TIME[/b]. [br][br]Be sure to change the location of the [b][color=#1e84cc]BLUE POINT[/color][/b], [b][color=#ff00ff]PINK POINT[/color][/b], & other [b]LARGE POINTS[/b] each time before you re-slide the slider. [br][br]After interacting with this applet for a few minutes, please answer the questions that follow.
1.
What is the [b]SUM[/b] of the measures of the [b][color=#ff00ff]PINK ARC[/color][/b] and [color=#1e84cc][b]BLUE ARC[/b][/color] (that you see at the end of the animation)? Why is this?
2.
What is the sum of the measures of the [b][color=#ff00ff]pink angle[/color][/b] and [b][color=#1e84cc]blue angle[/color][/b]? How do you know this to be true?
Quick (Silent) Demo
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