Angle Formed by 2 Chords Theorem

Recall that a [b]CHORD[/b] is a segment whose endpoints lie on a circle.[br]In the applet below, note that the [b][color=#9900ff]purple angle[/color][/b] is formed by the intersection of [b]two chords[/b]. [br][br]This [color=#9900ff][b]angle[/b][/color] and [color=#9900ff]its vertical angle[/color] intercept two arcs. [br][b][color=#ff0000]One intercepted arc is red.[/color][/b][br][color=#0000ff][b]The other intercepted arc is blue.[/b] [/color] [br][br][i][color=#38761d]Drag the green slider[/color] and carefully watch what happens.[/i] [br][br]Feel free to move any of the points of the circle around to change the size and location of the purple angle formed. [br][i]As you move them, make sure that the 2 chords intersect each other! [/i][br][br]Answer the questions that follow the applet.
[i]From what you observed, describe how you can find the measure of an [color=#9900ff]angle formed by two chords of a circle[/color]. (Be sure to use the term "[color=#ff0000]intercepted[/color] [color=#0000ff]arc[/color]" or "[color=#ff0000]intercepted[/color] [color=#0000ff]arcs[/color]" in your description.)[/i]

Information: Angle Formed by 2 Chords Theorem