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

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Math Expert
Joined: 02 Sep 2009
Posts: 58410
In the figure above, if x = 100 and y = 120, then z =  [#permalink]

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26 Aug 2018, 05:53
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Difficulty:

25% (medium)

Question Stats:

82% (01:38) correct 18% (01:48) wrong based on 84 sessions

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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 [ 13.17 KiB | Viewed 969 times ]

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Intern
Joined: 10 Oct 2017
Posts: 24
GMAT 1: 610 Q41 V35
Re: In the figure above, if x = 100 and y = 120, then z =  [#permalink]

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26 Aug 2018, 09:03
1
Bunuel wrote:

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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Status: Learning stage
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Posts: 1012
WE: Supply Chain Management (Energy and Utilities)
Re: In the figure above, if x = 100 and y = 120, then z =  [#permalink]

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26 Aug 2018, 09:24
Bunuel wrote:

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)
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Supplementary angles.JPG [ 14.52 KiB | Viewed 779 times ]

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

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26 Aug 2018, 20:01
Bunuel wrote:

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.

Thank you.
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Joined: 09 Sep 2018
Posts: 16
Re: In the figure above, if x = 100 and y = 120, then z =  [#permalink]

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28 Sep 2018, 12:55
This is not 600-700. This is luckily 500-600, but I would say it is 300-500.
It's hurting me to have a good score here and then in the CATs I suck..
Re: In the figure above, if x = 100 and y = 120, then z =   [#permalink] 28 Sep 2018, 12:55
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