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The figure above shown [#permalink] New post 17 Feb 2017, 03:05
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83% (00:33) correct 16% (00:31) wrong based on 18 sessions


Image

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

Insert the value

[Reveal] Spoiler: OA
40

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Re: The figure above shown [#permalink] New post 17 Feb 2017, 20:09
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i think answer 15 is wrong. I found an answer 40
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Re: The figure above shown [#permalink] New post 18 Feb 2017, 00:45
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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.

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Re: The figure above shown [#permalink] New post 25 Feb 2017, 17:45
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Explanation

The sum of the interior angles of a polygon, use 180(n − 2), where n is the number of sides: Sum of the interior angles = 180(9 − 2) → 180(7) → 1260°.

Since this 9-sided figure is regular, all of the interior angles are equal: 1260° \(\div\) 9 = 140°.

Now we can find x:

Image

x° + 140° = 180°

x = 40°


Hence the value 40 is correct.
[Reveal] Spoiler: Img
Attachment:
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di new.jpg [ 39.94 KiB | Viewed 10128 times ]

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Re: The figure above shown [#permalink] New post 22 Sep 2017, 15:25
isnt 360/n a simpler solution? 360/9=40
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Re: The figure above shown [#permalink] New post 29 Sep 2017, 05:11
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] New post 29 Sep 2017, 06:48
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] New post 02 Oct 2017, 07:43
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Attached is a visual that should help.
Attachments

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 6030 times ]


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Re: The figure above shown   [#permalink] 02 Oct 2017, 07:43
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