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In the figure shown, if ABCD is a parallelogram, what is the value of

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In the figure shown, if ABCD is a parallelogram, what is the value of [#permalink]

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New post 13 Apr 2018, 01:56
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A
B
C
D
E

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87% (00:56) correct 13% (00:22) wrong based on 39 sessions

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In the figure shown, if ABCD is a parallelogram, what is the value of y?

(1) w = 125
(2) z = 55


Attachment:
2018-04-13_1252.png
2018-04-13_1252.png [ 8.57 KiB | Viewed 601 times ]

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Re: In the figure shown, if ABCD is a parallelogram, what is the value of [#permalink]

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New post 13 Apr 2018, 08:33
St 1 w=125 so x = 55
Adjecent angle of parelle. Are supplimentry

X+5y= 180
Y= 25

St2 z=55 so angle B = 125
We know opposite angle of parelle. Are eqaul so 5y = 125
Y= 25
Sufficient

Ans = D

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Re: In the figure shown, if ABCD is a parallelogram, what is the value of [#permalink]

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New post 16 Apr 2018, 07:40
Bunuel wrote:
Image
In the figure shown, if ABCD is a parallelogram, what is the value of y?

(1) w = 125
(2) z = 55


Attachment:
2018-04-13_1252.png



Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

We have the following equations from the figure.
x + w = 180
x + 5y = 180
x = z

Since we have 4 variables and 3 equations, D is most likely to be the answer.

1) w = 125
x = 55
5y = 180 - x = 180 - 55 = 125
y = 25
The condition 1) is sufficient.

2) z = 55
x = 55
5y = 180 - x = 180 - 55 = 125
y = 25
The condition 2) is sufficient.

Therefore, D is the answer.

If the original condition includes “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations” etc., one more equation is required to answer the question. If each of conditions 1) and 2) provide an additional equation, there is a 59% chance that D is the answer, a 38% chance that A or B is the answer, and a 3% chance that the answer is C or E. Thus, answer D (conditions 1) and 2), when applied separately, are sufficient to answer the question) is most likely, but there may be cases where the answer is A,B,C or E.
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Re: In the figure shown, if ABCD is a parallelogram, what is the value of [#permalink]

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New post 28 Apr 2018, 05:57
Two important properties of parallelogram is utilized here

Opposite angles of parallelogram are equal.

Adjacent angles of parallelogram are supplementary(sum of adjacent angles is 180)

Both these properties are used to find angle y

So D is aNswer

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Re: In the figure shown, if ABCD is a parallelogram, what is the value of   [#permalink] 28 Apr 2018, 05:57
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