[b]Definition[/b]: An [b][color=#1551b5]INSCRIBED ANGLE[/color][/b] of a circle is [color=#1551b5]an angle whose vertex lies on the circle and has each of its rays intersect the circle at one other point.[/color] [br][br]Notice how both the [color=#1551b5]inscribed angle[/color] and [color=#c51414]central angle[/color] both intercept the same arc. [br][br]Before moving the slider on the right, feel free to move [color=#1551b5]vertex of the inscribed angle (blue point)[/color] around anywhere you'd like. After dragging the slider (and future slider that will soon appear after that), be sure to answer any question(s) that may appear along the way. [br][i][br]Have fun with this! [/i] [br][br]Please thoroughly and specifically answer the questions that appear as best you can.