It is important for your geometry education to include knowing the number of degrees in a triangle or any other polygon.  This is especially helpful for those complicated angle puzzles they give you on most standardized tests.

    Most people know a triangle has 180 degrees spread over its point's and that a rectangular shape has 360 degrees spread over it's points.  But how many degrees are in a pentagon?  Or a dodecagon for that matter?  Well, there is a fairly simple formula you can use to figure this stuff out.  The formula says that the number of degrees in an "n"-gon is equal to n minus 2 all times 180 [  number of degrees = (n-2)180  ].  So that means that a pentagon would have (n-2)180 degrees = (5-2)180 degrees = (3)180 degrees = 540 degrees.

    (1)  How many degrees are an octagon (8-gon)?

    (2)  How many degrees would a 70-gon have?

    (3)  If each angle is equal to every other angle in a 6-gon, what would be the measure of each angle?