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In the preceding figure, ABCD is a parallelogram and mDAB = 50°
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18 Sep 2021, 00:58
18 Sep 2021, 00:58
Expert Reply
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Question Stats:
63% (01:16) correct
36% (01:03) wrong based on 11 sessions
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Attachment:
GRE In the preceding figure.jpg [ 16.89 KiB | Viewed 1313 times ]
In the figure above, ABCD is a parallelogram and \(m\angle DAB = 50°\)
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.
In the preceding figure, ABCD is a parallelogram and mDAB = 50°
[#permalink]
18 Sep 2021, 06:38
18 Sep 2021, 06:38
2
Carcass wrote:
Attachment:
GRE In the preceding figure.jpg
In the figure above, ABCD is a parallelogram and \(m\angle DAB = 50°\)
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.
Explanation:
Some Properties of a Parallelogram
The opposite sides and angles are equal.
The adjacent angles are supplementary.
The diagonals of a parallelogram bisect each other.
Each diagonal separates it into two congruent triangles.
Here,
We can write
\(\angle DAC + \angle CAB = \angle DAB\)
or \(\angle x + \angle y = 50\) ( \(\angle CAB = \angle y\) ,The opposite sides and angles are equal)
We donot have much information, whether \(\angle x \) or \(\angle y\) is greater
Hence , Option D
gmatclubot
In the preceding figure, ABCD is a parallelogram and mDAB = 50° [#permalink]
18 Sep 2021, 06:38
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