Hexagon Angle Theorems

[color=#000000]Interact with the applet below for a few minutes.  [br]Then, answer the questions that follow.  [br][br]Be sure to change the locations of the hexagon's [b]BIG BLACK VERTICES[/b] each time [i]before[/i] you drag the slider!!! [br][br]Note: [i]M[sub]1, [/sub][/i][i]M[sub]2, [/sub][/i][i]M[sub]3, [/sub][/i][i]M[sub]4,[/sub] M[sub]5, [/sub]& [/i][i]M[sub]6[/sub] [/i][i]serve as midpoints of the sides of this hexagon. [/i][/color]
[b][color=#980000]Questions:[/color][/b][br][color=#000000]From your observations, what is the sum of the measures of the interior angles of[br]    [i]any hexagon?  [/i][/color]

Information: Hexagon Angle Theorems