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# In the figure above, if PQRS is a parallelogram, then y - x =

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Math Expert
Joined: 02 Sep 2009
Posts: 56268
In the figure above, if PQRS is a parallelogram, then y - x =  [#permalink]

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23 Aug 2018, 04:05
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15% (low)

Question Stats:

85% (01:01) correct 15% (01:29) wrong based on 24 sessions

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In the figure above, if PQRS is a parallelogram, then y - x =

A. 15°
B. 30°
C. 80°
D. 115°
E. 210°

Attachment:

image042.gif [ 1.22 KiB | Viewed 545 times ]

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WE: Supply Chain Management (Energy and Utilities)
Re: In the figure above, if PQRS is a parallelogram, then y - x =  [#permalink]

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23 Aug 2018, 04:11
Bunuel wrote:

In the figure above, if PQRS is a parallelogram, then y - x =

A. 15°
B. 30°
C. 80°
D. 115°
E. 210°

Attachment:
image042.gif

We have 2y+50=180
Or, 2y=130
Or, y=65
We know, adjacent angles of a parallelogram one supplementary.
So, x+2y=180
Or, x+130=180
Or, x=50

So, y-x=65-50=15

Ans. (A)
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Re: In the figure above, if PQRS is a parallelogram, then y - x =  [#permalink]

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23 Aug 2018, 14:53
Bunuel wrote:

In the figure above, if PQRS is a parallelogram, then y - x =

A. 15°
B. 30°
C. 80°
D. 115°
E. 210°

Attachment:
image042.gif

2y + 30 = 180

2y = 130

y = 65.

Sum of all the angles :

2y + 2y +x + x = 360

130 + 130 + 2x = 360

260 + 2x = 360

x = 50.

(y - x ) = 65 - 50 = 15.

Intern
Joined: 02 Sep 2015
Posts: 42
Re: In the figure above, if PQRS is a parallelogram, then y - x =  [#permalink]

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23 Aug 2018, 23:25
2y + 50 = 180
2y = 130
y = 65.

Since it is a parallelogram, X need not be calculated. X = 50 (Please confirm ?)

Y - X = 65 - 50 = 15

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Joined: 20 Jul 2018
Posts: 88
GPA: 2.87
Re: In the figure above, if PQRS is a parallelogram, then y - x =  [#permalink]

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24 Aug 2018, 01:23
2y=180-50
2y=130
y=65

As PS and QR are parallel
So x=50
x-y=65-50=15

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Re: In the figure above, if PQRS is a parallelogram, then y - x =   [#permalink] 24 Aug 2018, 01:23
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