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# z - x or y

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z - x or y [#permalink]  26 Aug 2018, 03:00
Expert's post
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Question Stats:

80% (01:02) correct 19% (01:23) wrong based on 77 sessions
Attachment:

lines.jpg [ 12.28 KiB | Viewed 3516 times ]

 Quantity A Quantity B $$z-x$$ $$y$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E
[Reveal] Spoiler: OA

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Re: z - x or y [#permalink]  26 Aug 2018, 04:54
1
KUDOS
Carcass wrote:
Attachment:
The attachment lines.jpg is no longer available

 Quantity A Quantity B $$z-x$$ $$y$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E

As per the diagram attached, we can write as
In the triangle

$$180 - z + y + x =180$$

or$$y = z - x$$

Option C
Attachments

lines.jpg [ 9.12 KiB | Viewed 3440 times ]

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GRE Instructor
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Re: z - x or y [#permalink]  28 Aug 2018, 11:59
2
KUDOS
Expert's post
Carcass wrote:
Attachment:
lines.jpg

 Quantity A Quantity B $$z-x$$ $$y$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E

Since opposite angles are equal, we can see that the angle opposite x° is also

Also, since angles on a line add to 180°, the angle sharing a line with z° must equal (180 - z)°

Finally, since the angles in a triangle must add to 180°, we can write: (180 - z)° + + = 180°
Simplify: 180 - z + x + y = 180
Subtract 180 from both sides to get: -z + x + y = 0
Add z to both sides to get: x + y = z
Subtract x from both sides to get: y = z - x

Since y = z - x, the correct answer is C

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Manager
Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146
WE: Information Technology (Computer Software)
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Re: z - x or y [#permalink]  28 Aug 2018, 21:10
All we need to do here is to carefully label the unknown angles.

Then we need to add all 3 labled angles and equate it to 180 because it is a triangle
then solve for Y and Y will be Y=Z-X
Director
Joined: 09 Nov 2018
Posts: 505
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Re: z - x or y [#permalink]  18 Jan 2019, 19:40
z= y+x

y=z-x

Re: z - x or y   [#permalink] 18 Jan 2019, 19:40
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