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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: 49231
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:

86% (01:35) correct 14% (01:29) wrong based on 36 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 507 times ]

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

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26 Aug 2018, 09:03
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
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 840
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 337 times ]

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Joined: 06 Nov 2016
Posts: 60
Location: Viet Nam
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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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Re: In the figure above, if x = 100 and y = 120, then z = &nbs [#permalink] 26 Aug 2018, 20:01
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