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# From the figure, which one of the following must be true?

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Math Expert
Joined: 02 Sep 2009
Posts: 58400
From the figure, which one of the following must be true?  [#permalink]

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09 Oct 2018, 01:23
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Question Stats:

67% (00:50) correct 33% (01:38) wrong based on 13 sessions

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From the figure, which one of the following must be true?

(A) y = z

(B) y < z

(C) y ≤ z

(D) y > z

(E) y ≥ z

Attachment:

lines (3).jpg [ 15.3 KiB | Viewed 386 times ]

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Joined: 31 Oct 2013
Posts: 1469
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: From the figure, which one of the following must be true?  [#permalink]

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09 Oct 2018, 01:31
Bunuel wrote:

From the figure, which one of the following must be true?

(A) y = z

(B) y < z

(C) y ≤ z

(D) y > z

(E) y ≥ z

Attachment:
lines (3).jpg

x +3x = 180

x = 45 = z.

y = 135.

y>z.

Intern
Joined: 13 Mar 2018
Posts: 23
GPA: 3.12
WE: Project Management (Other)
Re: From the figure, which one of the following must be true?  [#permalink]

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09 Oct 2018, 01:35
Bunuel wrote:

From the figure, which one of the following must be true?

(A) y = z

(B) y < z

(C) y ≤ z

(D) y > z

(E) y ≥ z

Attachment:
lines (3).jpg

From the given figure,

X + 3X=180°
then, X= 45°. so from this we can find out that X=Z=45° & Y=3X=3*45°=135°
Hence, Y>Z. Option D
Senior Manager
Joined: 10 Jan 2013
Posts: 294
Location: India
Concentration: General Management, Strategy
GPA: 3.95
Re: From the figure, which one of the following must be true?  [#permalink]

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09 Oct 2018, 03:15
Bunuel wrote:

From the figure, which one of the following must be true?

(A) y = z
(B) y < z
(C) y ≤ z
(D) y > z
(E) y ≥ z
spoiler=]
Attachment:
lines (3).jpg
[/spoiler]

my logic is:

y=3x
and x=z

therefore y = 3z

now since y equals 3 times of z. It means that y > z

Option D
Re: From the figure, which one of the following must be true?   [#permalink] 09 Oct 2018, 03:15
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