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PQRS is a parallelogram

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PQRS is a parallelogram [#permalink] New post 25 May 2018, 16:08
Expert's post
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Question Stats:

72% (00:32) correct 27% (00:28) wrong based on 22 sessions
Attachment:
#GREpracticequestion PQRS is a parallelogram.jpg
#GREpracticequestion PQRS is a parallelogram.jpg [ 10.78 KiB | Viewed 1798 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

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Re: PQRS is a parallelogram [#permalink] New post 25 May 2018, 20:18
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?
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Re: PQRS is a parallelogram [#permalink] New post 26 May 2018, 01:41
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.

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Re: PQRS is a parallelogram [#permalink] New post 27 May 2018, 12:47
How come those angles are 90 degrees each?
A + B + C + D = 360 .

A , B , C , D can be different too. Please explain?
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Re: PQRS is a parallelogram [#permalink] New post 28 May 2018, 11:30
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
parallelogram (2).jpg [ 45.77 KiB | Viewed 2215 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.

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Re: PQRS is a parallelogram [#permalink] New post 29 Aug 2018, 07:23
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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
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Re: PQRS is a parallelogram [#permalink] New post 18 Jan 2019, 18:44
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
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Re: PQRS is a parallelogram [#permalink] New post 18 Jan 2019, 18:47
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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