TWO SECANTS INTERSECT IN THE EXTERIOR OF A CIRCLE

Activity: Find it out by Yourself!
Given: In the figure below, [b]line [i]NX[/i][/b]and [b]line [i]MY[/i][/b]are two secants intersecting outside the circle at point [i]P[/i].[br][b]Arc [i]XY[/i][/b]and [b]Arc [i]MN[/i][/b]are the two intercepted arcs of [b]angle XPY[/b][br][br]Move point P to observe the relationship of the two secants and the exterior angle formed.[br][br][b]Question:[/b][br]Is there any relationship among the measure of [b][i]angle XPY[/i][/b] and [b]arc MN [/b]and [b]arc XBY[/b]? Describe the relationship if there is any.

Information: TWO SECANTS INTERSECT IN THE EXTERIOR OF A CIRCLE