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Question 569498: Hi,
1. suppose that the sum of the measures of the vertex angles of a polygon is 1620 degrees. How many sides does the polygon have?
what I've tried:
(n-2)180/n= i multiplied "n" by both sides to cancel out the fraction and then use distribution property to fix the equation.
180n - 360= 1620n
-180n 180n
-360= 1440n
-0.25=n
but that is the wrong answer. the book says that the answer of sides is 11.
Please help me.

Click here to see answer by KMST(5328)

Question 570021: If you were to place a rhombus in the coordinate plane so that its diagonals lie along the axes, what would be the coordinates of the vertices using as few variables as possible?
Click here to see answer by solver91311(24713)

Question 570360: if a polygon is regular and one of the vertex angles is 165 degrees, how many sides must it have?
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Question 570408: If the exterior angle of a regular polyogn is 15, how do you find the central angle?
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Question 571027: how do you find the area of a 20-ogon
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Question 571070: What is the height and radius of a cube with a volume of 113.1, with an answer in centimeters preferably??
Thank you, I apreciate your help

Click here to see answer by rfer(16322)

Question 571345: How do i prove all the angles of a pentagon are congruent if i know that there are five congruent sides and 3 congruent angles?
Click here to see answer by Edwin McCravy(20054)

Question 571749: What is another name for a regular quadrilateral

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Question 572275: What equiangular polygon has an exterior angle measure of 11.25?
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Question 572958: If the measure of an exterior angle of a regular polygon is 15, how many sides does the polygon have?
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Question 573308: how many sides do a polygon have?

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Question 573507: each interior angle of the regular n-gon has a measure of 156. what is n

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Question 573674: can a regular polygon be drawn with each exterior angle equal to 48˚?
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Question 573749: How can you find the measure of one exterior angle of a regular polygon if you know the number of sides?
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Question 575499: Find the number of sides a regular polygon must have to meet each condition if each interior angle measure is four times the measure of each exterior angle. Show all work.
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Question 575954: does all sides of a polygon have to have the same ratio to be similar?
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Question 576757: using the ratios 24/32 = 6/(x -1) or 24(x -1) =32 x 6 solve for x
Can you please explain so I can do the other questions thank you.
Click here to see answer by mananth(16946)

Question 577560: What is the area of a hexagon with thegiven measurment 2√3
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Question 578137: Find the sum of the interior angles of a polygon with 34 sides.
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Question 578195: find the sum of the measures of the interior angles of the indicated convex polygon nonagon, 14-gon, 16-gon, 20-gon
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Question 578231: what is the sum of the interior angles of a polygon with 38 sides.
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Question 578222: how do you find the number of sides in a regular n-gon with these given facts
each side = 4.8 cm, apothem=7.4, and area = 177.6cm sqd
Click here to see answer by Edwin McCravy(20054)

Question 578709: In a convex n-gon, the sum of all angles except one angle is 2270 . find the number of sides of n-gon .
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Question 578709: In a convex n-gon, the sum of all angles except one angle is 2270 . find the number of sides of n-gon .
Click here to see answer by richard1234(7193)

Question 578764: how would you find the value of an angle inside a polygon?
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Question 578764: how would you find the value of an angle inside a polygon?
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Question 578764: how would you find the value of an angle inside a polygon?
Click here to see answer by Theo(13342)

Question 579452: if there is a regular polygon and each angle is 170 degrees then how many sides does the polygon have?
Click here to see answer by Alan3354(69443)

Question 579516: How do you put (n-2)times 180 degrees in words?
Click here to see answer by Edwin McCravy(20054)

Question 580211: if the measure of a regular polygons interior angles is 156 degrees, how many sides does the polygon have?
Click here to see answer by Alan3354(69443)

Question 580179: I know that the equation to find the sum of the measures of the angles for a regular polygon is
(180)N-360 when N=Number of sides. But I do not understand why.
Why do you multiply N by 180 then subtract 360.
Thanks.
Click here to see answer by Alan3354(69443)

Question 580226: what is the sum of the measures of the interior angles of a regular 72-gon?
Click here to see answer by stanbon(75887)

Question 580521: How many triangles are formed by the diagonals from one vertex of a regular octagon? I know the answer is 6 but why isnt it 8?
Click here to see answer by jim_thompson5910(35256)

Question 580659: what is the measure of each exterior angle of a regular 56-gon?

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Question 580762: For the following regular n-gons, give the measure of a vertex angle, a central angle, and an exterior angle for 12-gon?

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Question 581522: How many different ways can you find the area of a regular octagon with all sides equal to 3 meters? Describe each method and use it to find the area. Are the answers the same? Should the answers be the same?
Click here to see answer by richard1234(7193)

Question 583024: Find the measure of one interior angle of a regular polygon with eight sides.

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Question 583230: what is the name of the polygon that has three flat sides and one pointed side like a pentagon? it kind of looks like a house.
Click here to see answer by solver91311(24713)

Question 583712: The sum of the measures of the interior angles of a polygon is 900 degrees. Exactly how many sides does the polygon have?
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Question 584128: if two corresponding sides of two similar polygons are 8 and 16. find the ratio of their areas and perimeter?
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Question 584224: one exterior angle of a regular polygon measures 10 degrees what is the measure of each interioir angles ? how many sides does the polygon have ?
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Question 584491: The sum of the interior angles of a regular polygon is 7560 degrees. Find the following:
The number of sides is:
The measure of each interior angle is:
The measure of each exterior and central angle is:
How would I solve this? I know how to solve it if I know the # of sides but not when it only gives you the sum of all of the interior angles.
Click here to see answer by scott8148(6628)

Question 584907: What is the sum of the measures of the interior angles in a 74-gon?

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Question 585048: what do the exterior angles of a 12 sided polygon add up to?
Click here to see answer by stanbon(75887)

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