SECANT TANGENT INTERSECT AT THE POINT OF TANGENCY

Activity: Find it out by Yourself!
Given: In the figure below, [b]line [i]QS [/i][/b]is a secant and [b]line [i]RW [/i][/b]is a tangent intersecting at [i]S[/i], the point of tangency. [b]Arc [i]QS [/i][/b]is the intercepted arc of Angle [b]QSR [/b]while A[b]rc [i]QTS [/i][/b]is the intercepted arc of[b] Angle [/b][b]QSW[/b].[br][br]Move the point of tangency to observe the relationship of tangent and secant to its inscribed angle.[br][br]Question: Is there any relationship among the measure of [b][i]angle QSR[/i][/b] and [b]arc QS[/b]? How about the measure of [b][i]angle QSW[/i][/b] and [b]arc QW[/b]? Describe the relationship if there is any.

Information: SECANT TANGENT INTERSECT AT THE POINT OF TANGENCY