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In the figure above, if x = 100 and y = 120, then z =

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Math Expert
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Joined: 02 Sep 2009
Posts: 52905
In the figure above, if x = 100 and y = 120, then z =  [#permalink]

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New post 26 Aug 2018, 04:53
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

81% (01:41) correct 19% (01:39) wrong based on 76 sessions

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Joined: 10 Oct 2017
Posts: 11
Re: In the figure above, if x = 100 and y = 120, then z =  [#permalink]

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New post 26 Aug 2018, 08:03
1
Bunuel wrote:
Image
In the figure above, if x = 100 and y = 120, then z =

A. 10

B. 40

C. 50

D. 60

E. 70


Attachment:
lines.jpg


x+(y-z)=180
120+100-z=180
z=40
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Re: In the figure above, if x = 100 and y = 120, then z =  [#permalink]

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New post 26 Aug 2018, 08:24
Bunuel wrote:
Image
In the figure above, if x = 100 and y = 120, then z =

A. 10

B. 40

C. 50

D. 60

E. 70
Attachment:
The attachment lines.jpg is no longer available


You know supplementary angles add up to 180 degree when they lie on the same side of a straight line.

Refer the diagram, AOB is a straight line.Hence
\(\angle{AOB}+\angle{COB}=180\)
Or, \(x+(y-z)=180\) (Since \(\angle{COB}+z=y\))
Or, \(z=x+y-180=100+120-180\)
Or, \(z=40\)

Ans. (B)
Attachments

Supplementary angles.JPG
Supplementary angles.JPG [ 14.52 KiB | Viewed 641 times ]


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PKN

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Posts: 62
Location: Viet Nam
Concentration: Strategy, International Business
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Re: In the figure above, if x = 100 and y = 120, then z =  [#permalink]

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New post 26 Aug 2018, 19:01
Bunuel wrote:
Image
In the figure above, if x = 100 and y = 120, then z =

A. 10

B. 40

C. 50

D. 60

E. 70


Attachment:
lines.jpg


Supplementary Angles -> x + (y-z) = 180 --> 100 + (120 - z) = 180 --> z = 40.

Hi Bunuel
I couldn't understand why C is the OA.
Can you please check it?

Thank you.
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Re: In the figure above, if x = 100 and y = 120, then z =  [#permalink]

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New post 28 Sep 2018, 11:55
This is not 600-700. This is luckily 500-600, but I would say it is 300-500.
Please don't fool us :)
It's hurting me to have a good score here and then in the CATs I suck..
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Re: In the figure above, if x = 100 and y = 120, then z =   [#permalink] 28 Sep 2018, 11:55
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In the figure above, if x = 100 and y = 120, then z =

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