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Re: The figure above shown [#permalink]
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Thank you to point out. I had a mismatch posting the question. :-D

yes, it is true. It is 40. Thank you once again.

regards
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Re: The figure above shown [#permalink]
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isnt 360/n a simpler solution? 360/9=40
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Re: The figure above shown [#permalink]
saumya17lc wrote:
isnt 360/n a simpler solution? 360/9=40


What's the theory behind your solution?
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Re: The figure above shown [#permalink]
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saumya17lc wrote:
isnt 360/n a simpler solution? 360/9=40


Points to remember:-

Sum of Interior Angles = (n-2) × 180° (n = number of sides)

Each Angle (of a Regular Polygon) = \(\frac{(n-2) * 180}{n}\)
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Re: The figure above shown [#permalink]
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Attached is a visual that should help.
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Screen Shot 2017-10-02 at 8.42.42 AM.png
Screen Shot 2017-10-02 at 8.42.42 AM.png [ 126.25 KiB | Viewed 41616 times ]

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Re: The figure above shown [#permalink]
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Carcass wrote:

This question is a part of PowerPrep Question Collection



Attachment:
#Grepracticequestion The figure above shows a regular 9-sides polygon.jpg


The figure above shows a regular 9-sides polygon. What is the value of X ?

Insert the value

Show: :: OA
40


Useful rule: the sum of the angles in an n-sided polygon = (n - 2)(180°)

So, the sum of the angles in an 9-sided polygon = (9 - 2)(180°) = 1260°

Since we have a REGULAR 9-sides polygon, each interior angle is EQUAL
1260°/9 = 140°
So, each interior angle is 140°


We get:
Image


Since one of the 140° lies on the same line as angle x we know that the two angles add to 180°
Image
We get" x° + 140° = 180°
Solve: x = 40°

Answer: 40

Cheers,
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Re: The figure above shown [#permalink]
I have a answer 40 but there is no box to insert it.
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Re: The figure above shown [#permalink]
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In the real test, you do have a box to insert your value for the correct answer.

Here, of course, on the board is not "the real test" on a computer. It is just a discussion.

When you attempt the question, you should start the timer, evaluate the question and solve for it and then, when you come to your value 40 or whatever it is, you push if your nailed it or pick it wrong.

So your workbook records it.

You can see the value, correct, under the spoiler tag.

Regards
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Re: The figure above shown [#permalink]
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Carcass wrote:

This question is a part of PowerPrep Question Collection



Attachment:
#Grepracticequestion The figure above shows a regular 9-sides polygon.jpg


The figure above shows a regular 9-sides polygon. What is the value of X ?

Insert the value

Show: :: OA
40


A quick look tells us that it's not likely that we're going to be able to solve for x directly, so let's figure out the interior angle.

We can draw 9 - 2 = 7 triangles from a given vertice. Each triangle is composed of 180 degrees. We also have 9 sides we want to divide the total number of degree. 180 * 7 / 9 = 20 * 7 = 140 = interior angle.

180 - 140 = 40.

So the answer is 40.
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Re: The figure above shown [#permalink]
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interior angle = n-2*180/n =(9-2) *180/9 =140
x=180-140 =40
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Re: The figure above shown [#permalink]
Points to remember:-

Sum of Interior Angles = (n-2) × 180° (n = number of sides)

Each Angle (of a Regular Polygon) = (n−2)∗180n
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Re: The figure above shown [#permalink]
saumya17lc wrote:
isnt 360/n a simpler solution? 360/9=40


i also used this method. anything wrong with it?

"The Exterior Angles of a Polygon add up to 360°. In other words the exterior angles add up to one full revolution." (applicable for any simple polygon)
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Re: The figure above shown [#permalink]
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To find quickly, single exterior angle = 360/n

You will get the result ,360/9=40

This is true for all type of regular polygons
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Re: The figure above shown [#permalink]
40
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Re: The figure above shown [#permalink]
If you don't want to remember a formula, it may be helpful to think of polygon angle totals as taking a triangle (180 degrees) and then adding 180 degrees for each additional side.
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Re: The figure above shown [#permalink]
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Re: The figure above shown [#permalink]
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Carcass wrote:

This question is a part of PowerPrep Question Collection



Attachment:
#Grepracticequestion The figure above shows a regular 9-sides polygon.jpg


The figure above shows a regular 9-sides polygon. What is the value of X ?

Insert the value

Show: :: OA
40°





We are given a 9-sided polygon and needed to determine the measure of one of the exterior angles. We may recall the rule that the sum of exterior angles of any polygon is 360 degrees. Since we have a 9-sided polygon, we have 9 exterior angles and thus x = 260/9 = 40 degrees.

Answer: 40
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