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Founder  Joined: 18 Apr 2015
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PQRS is a parallelogram [#permalink]
Expert's post 00:00

Question Stats: 73% (00:40) correct 26% (00:24) wrong based on 15 sessions
Attachment: #GREpracticequestion PQRS is a parallelogram.jpg [ 10.78 KiB | Viewed 295 times ]

PQRS is a parallelogram

 Quantity A Quantity B 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.
[Reveal] Spoiler: OA

_________________
Intern Joined: 08 Apr 2018
Posts: 44
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Kudos [?]: 15 , given: 16

Re: PQRS is a parallelogram [#permalink]
Carcass wrote:
Attachment:
parallelogram.jpg

PQRS is a parallelogram

 Quantity A Quantity B 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.

Please confirm the solution for the answer. Did you assume that each of the angles in the parallelogram was 90 degrees so x=85 and y=90?
Founder  Joined: 18 Apr 2015
Posts: 6562
Followers: 107

Kudos [?]: 1253 , given: 5955

Re: PQRS is a parallelogram [#permalink]
Expert's post
The sum of the interior angles of a parallelogram is 360°.

Now, each angle is 90°

x-5=90 so x =95

y+10=90 so y=80

X is greater.

A is the answer.

Hope this helps.

Regards
_________________
Intern Joined: 26 May 2018
Posts: 32
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Kudos [?]: 5 , given: 2

Re: PQRS is a parallelogram [#permalink]
How come those angles are 90 degrees each?
A + B + C + D = 360 .

A , B , C , D can be different too. Please explain?
Founder  Joined: 18 Apr 2015
Posts: 6562
Followers: 107

Kudos [?]: 1253 , given: 5955

Re: PQRS is a parallelogram [#permalink]
Expert's post
Total internal angle: (n-2) x 180-degree

n- number of sides the polygon has.

Since parallelogram has four sides.

Attachment: parallelogram (2).jpg [ 45.77 KiB | Viewed 714 times ]

It has four sides.
2. Plugging it into the equation above, Sum of interior angle= (4–2) x 180

3. Sum of interior angle= 360°.

You may think of square and rectangle which have four sides, and yeah they have the same sum of the interior angle which is 360°.

Conclusion: any angle is 90°

Hope this helps.

Source Quora
_________________ Manager Joined: 29 Nov 2017
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Location: United States
GRE 1: Q142 V146 WE: Information Technology (Computer Software)
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Re: PQRS is a parallelogram [#permalink]
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they have stated that the figure is a parallelogram.

means the opposite angle are equal

x+5=y+10 =x-y =5
x=y+5
therefore X is 5 greater than Y.

option A
Director Joined: 09 Nov 2018
Posts: 509
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Re: PQRS is a parallelogram [#permalink]
Carcass wrote:
Total internal angle: (n-2) x 180-degree

n- number of sides the polygon has.

Since parallelogram has four sides.

Attachment:
parallelogram (2).jpg

It has four sides.
2. Plugging it into the equation above, Sum of interior angle= (4–2) x 180

3. Sum of interior angle= 360°.

You may think of square and rectangle which have four sides, and yeah they have the same sum of the interior angle which is 360°.

Conclusion: any angle is 90°

Hope this helps.

Source Quora

No, for parallelogram, we cannot say that. It is not an regular polygon. The formula Total internal angle: (n-2) x 180-degree then Total internal angle: (n-2) x 180-degree/n works for regular polygon. Yes, it is a polygon with 4 sides but not a regular polygon . we can only say consecutive angles 180 and opposite angle are equal but we cannot take any decision about individual angle.

_____________________________________________
Please let me know if I am wrong
Director Joined: 09 Nov 2018
Posts: 509
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Kudos [?]: 23 , given: 1

Re: PQRS is a parallelogram [#permalink]
In a parallelogram opposite angle are equal-

bx+ 5= y+10
x = y+5

Clearly x is greater
Answer A Re: PQRS is a parallelogram   [#permalink] 18 Jan 2019, 18:47
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