Find the sum of the interior angles in an octagon.

Question

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Answer 1

In the 1960's, Seymour Papert and the team at M.I.T. used a "turtle" with a pen, controlled by a computer, to teach programming.  It is super cool for geometry.  See LogoAcademy.com:

Forward 50
Left 45
Forward 50
Left 45
Forward 50
Left 45
Forward 50
Left 45
Forward 50
Left 45
Forward 50
Left 45
Forward 50
Left 45
Forward 50
Left 45

 

For an octagon, the turtle turns 8 times to completely turn around.  So, 360/8 = 45 degrees each time.  The internal angle is 180-45=135.  And 8*135=1080.

Answer 2

The formula is actually (n-2)180, not (n-1)180

Answer 3

The sum of the interior angles of a polygon is (n - 1)180, where n is the number of sides.

Can you calculate this for an octagon?