Move points C, D, and E and record how the measures of arcs EF and BD and angle ECF change.

BE and DA are secants that intersect INSIDE the circle at point C. [br][br][b][u]Step 1:[/u][/b] Find the sum of the measures of Arc AB and Arc DE. [br][br][i]Question 1:[/i] What is the relationship between the sum of the two intercepted arcs and the measure of Angle C?[br][br][b][u]Step 2:[/u][/b] Move points C, D, and E around. [br][br][i]Question 2:[/i] Does the relationship still hold after moving the points?[br][br][i]Question 3:[/i] Is it possible to have two tangents that intersect inside the circle? Why or why not?[br][i][br]Question 4:[/i] Copy this question in your notes and fill in the blank: If two secants or chords intersect inside the circle, then the measure of an angle formed is _________ the __________ of the intercepted arcs.