A polygon

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Posted on Jan 02, 2017

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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

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

My interpretation is that your parrot went out for a cracker and hence Poly is Gone

Try this link.

Polygon Wikipedia the free encyclopedia

Polygons

Wolfram MathWorld The Web Most Extensive Mathematics Resource

Try this link.

Polygon Wikipedia the free encyclopedia

Polygons

Wolfram MathWorld The Web Most Extensive Mathematics Resource

Apr 16, 2015 | Office Equipment & Supplies

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

Jun 05, 2014 | Computers & Internet

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

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

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

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

Feb 20, 2014 | Computers & Internet

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

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

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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