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# In the above figure, PQRS is a parallelogram. Then y =

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Math Expert
Joined: 02 Sep 2009
Posts: 47110
In the above figure, PQRS is a parallelogram. Then y = [#permalink]

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19 Sep 2017, 23:42
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Difficulty:

25% (medium)

Question Stats:

75% (00:32) correct 25% (00:17) wrong based on 24 sessions

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In the above figure, PQRS is a parallelogram. Then y =

(A) 20
(B) 40
(C) 60
(D) 80
(E) 100

Attachment:

2017-09-20_1019_001.png [ 8.15 KiB | Viewed 628 times ]

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Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 675
Location: India
GPA: 3.64
Re: In the above figure, PQRS is a parallelogram. Then y = [#permalink]

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20 Sep 2017, 11:27
Bunuel wrote:

In the above figure, PQRS is a parallelogram. Then y =

(A) 20
(B) 40
(C) 60
(D) 80
(E) 100

Attachment:
2017-09-20_1019_001.png

L QPS = 180-120 = 60 deg.
L QSP = 40 deg., since QR is parallel to PS and QS is intersecting line.
Hence, L PQS = 180 - 60 - 40 = 80 deg. = y deg (BY same property as above)

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Joined: 06 Jul 2014
Posts: 102
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Re: In the above figure, PQRS is a parallelogram. Then y = [#permalink]

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20 Sep 2017, 11:42
Since adjacent angles in a parallelogram sum to 180, y=80.
Re: In the above figure, PQRS is a parallelogram. Then y =   [#permalink] 20 Sep 2017, 11:42
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