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A 9 sided shape

A polygon

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Enneagon or nonagon

Posted on Mar 22, 2014

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Posted on Jan 02, 2017

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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

1 Answer

Shapes that are not polygons


Polygon means 'many sides'. Shapes that don't have sides are circles, ovals etc.

Jun 05, 2014 | Computers & Internet

1 Answer

A polygon with 10 sides


Deca is the Greek for 10 so Decagon because it has 10 angles. It's all Greek to me ... ha ha.

Mar 25, 2014 | Computers & Internet

1 Answer

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

1 Answer

What shape is a quadlatural


A quadrilateral is a polygon with four sides and four corners.

Feb 20, 2014 | Computers & Internet

1 Answer

All shapes of polygons


There are an infinite number of shapes of polygons --- too many to list here. See http://en.wikipedia.org/wiki/Polygon

Dec 12, 2013 | Computers & Internet

1 Answer

All shapes of polygons


There are an infinite number of polygons, from triangles with three sides, quadrilaterals with four sides, and going on from there.

Oct 23, 2013 | Office Equipment & Supplies

1 Answer

Lost power cord for speakers where do i get another.


RadioShack or Best Buy. Target might even have it. Just remember the shape for the plug that goes into the speaker. It will only cost at Max, $10 Chances are its either a round side and square side, or a three prong polygon.

Sep 19, 2009 | Audio Players & Recorders

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