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Posted on Jan 02, 2017

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

NINETY (90) sides

Mar 26, 2017 | Cars & Trucks

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

A square - but the "no angles" is the clincher. Unless (4) 90 degree angles aren't considered angles.

Polygon Wikipedia the free encyclopedia

Polygon Wikipedia the free encyclopedia

Mar 11, 2015 | Computers & Internet

the assignment would require to go google and type in --name of 9 sided figure.

Feb 10, 2015 | Office Equipment & Supplies

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

What follows is true for CONVEX polygons.

Let**n **be the number of sides of a convex polygon, and let** n** **be greater than or equal to 4**, then

The number of diagonals is given by**n*(n-3)/2**

Using this rule, write**n*(n-3)/2**=20. Clear the fraction, open brackets. You end up with **n^2-3n-40=0**.

Factor the polynomial or use the formulas for the quadratic equation to find the roots as** n=-5 or n=8**. Discard the negative root because n must be positive.

Let

The number of diagonals is given by

Using this rule, write

Factor the polynomial or use the formulas for the quadratic equation to find the roots as

Oct 05, 2013 | Computers & Internet

The perimeter of a polygon is the length of its sides. The area is the space enclosed by the polygon.

The difference is similar to the difference between a fence around a yard and the space in the yard.

The difference is similar to the difference between a fence around a yard and the space in the yard.

May 02, 2013 | Office Equipment & Supplies

For convex polygons there is a relation linking the number of sides to the number of diagonals. Here it is, with n=number of sides

**number of diagonals=n*(n-3)/2.** Obviously the number of sides must be greater or equal to 3.

If you use the relation for a hexagon (n=6) the number of diagonals is 9. With n=7, the number of diagonals is 14, and for n=8 the number of diagonals is 8*(8-3)/2=20.** The answer is that there does not exist a CONVEX polygon with 15 diagonals.**

You can also try to solve the quadratic equation n(n-3)/2=15 for a positive integer. And you will not find a solution.

For polygons that are not convex there may be many solutions or no solutions. I leave that to you as an exercise.

If you use the relation for a hexagon (n=6) the number of diagonals is 9. With n=7, the number of diagonals is 14, and for n=8 the number of diagonals is 8*(8-3)/2=20.

You can also try to solve the quadratic equation n(n-3)/2=15 for a positive integer. And you will not find a solution.

For polygons that are not convex there may be many solutions or no solutions. I leave that to you as an exercise.

Mar 11, 2013 | SoftMath Algebrator - Algebra Homework...

Aug 18, 2017 | The Computers & Internet

Aug 18, 2017 | Facebook Computers & Internet

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