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PQRS is a parallelogram

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

81% (00:42) correct 18% (00:32) wrong based on 11 sessions
Attachment:
parallelogram.jpg
parallelogram.jpg [ 10.78 KiB | Viewed 332 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 281 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
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
Re: PQRS is a parallelogram   [#permalink] 29 Aug 2018, 07:23
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