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7 sided polygon name - Office Equipment & Supplies

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'heptagon'

Posted on May 09, 2014

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How many angles does a regular polygon have when its interior angle is 176 degrees


Lots and lots and lots. When you think the angle is nearly 180 degrees or a straight line, it must have lots and lots of sides.

The total of the interior angles of a polygon is given by (n-2)180, so the angle of each interior angle of a regular polygon is given by ((n-2)180)/n.

Now we set this to be equal to 176 and solve for n.
(n-2)180 = 176
-----------
n

Multiplying both sides by n, we get (n-2) 180 = 176n

Expanding the left side of the equation, 180n - 360 = 176n

Subtracting 176n from both sides and adding 360 to both sides, we get

180n - 176n = 360

4n = 360

Dividing both sides by 4, n = 90

Thus, you need a regular polygon of 90 sides to get an internal angle of 176 degrees.

Hopefully you don't have to construct it.

Good luck,

Paul

Mar 26, 2017 | Homework

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Names of all polygons


Since there are an infinite number of polygons, I can't list all of their names. For the names of all polygons with up to 100 sides, see http://en.wikipedia.org/wiki/Polygon

Jun 05, 2014 | Computers & Internet

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Whats a polygon with four sides


The usual name for a polygon with 4 sides is quadrilateral. You could call it tetragon too, but that is not common.

Mar 17, 2014 | Office Equipment & Supplies

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I do not know every shape on earth like a octagon has 8 sides a decagon has 9 sides but what are the rest


Actually, a decagon has 10 sides while a nonagon has 9 sides.

Not every polygon has a name, since there are an infinite possibilities for the number of sides. You can see the names for many of them at http://en.wikipedia.org/wiki/Polygon

Mar 03, 2014 | Computers & Internet

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