[b][color=#000000]Theorem (Same Theorem seen in [url=http://tube.geogebra.org/m/EXwXKey4][color=#000000]Animation 32[/color][/url]):[/color][/b][br]The [b]measure of an angle[/b] formed by [b][color=#000000]2 chords[/color][/b] that intersect inside a circle is equal to half the sum (average) of the measures of their intercepted arcs. (The intercepted arcs are the [color=#ff00ff][b]pink arc[/b][/color] and the [color=#1e84cc][b]blue arc[/b][/color].)[br][br]Note that the [color=#ff00ff][b]pink[/b][/color] and [color=#1e84cc][b]blue[/b][/color] angles are [b][color=#000000]inscribed angles[/color][/b], and each inscribed angle measures half the measure of the arc it intercepts!