Question 1160997
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The sum of the measures of the interior angles of any convex polygon is given by:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ (n\,-\,2)180^\circ]


where *[tex \Large n] is the number of vertices.


Since the polygon you are describing is equilateral, it must also be equiangular, hence each interior angle must have a measure that is the sum of the measures the sum of the interior angles divided by the number of vertices.


For *[tex \Large n\ =\ 8], each interior angle measures


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{6\,*\,180}{8}\ =\ 135] degrees.


Note that any line segment with endpoints at the center of the octagon and a vertex of the octagon bisects the interior angle, hence the end of each piece of wood must be cut at an angle measuring one-half of the interior angle measure.
								
								
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
{{n}\choose{r}}
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