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06 Nov 2018, 01:43
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
65% (01:12) correct
35%
(01:30)
wrong
based on 92
sessions
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Date
Time
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Not Attempted Yet
In the parallelogram ABCD shown below, what is the value of x?
(1) x = y/3
(2) x + z = 90
Attachment:
2018-11-06_1240.png [ 12.45 KiB | Viewed 3601 times ]
saurabh9gupta
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06 Nov 2018, 01:49
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Consecutive angles are supplementary in a parallelogram.
A is sufficient
Posted from my mobile device
A is sufficient
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eswarchethu135
GMAT 2: 640 Q49 V27
Posts: 276
06 Nov 2018, 02:30
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To solve this question, we need to be aware of 2 properties of a parallelogram.
1) Opposite angles are congruent.
2) Consecutive angles are supplementary \(180^{\circ}\)
Statement 1) x = y/3
=> x = z.
=> z = y/3
=> y+z = 180
=> y/3 + y = 180
=> y = \(135^{\circ}\)
=> z = \(45^{\circ}\)
So x = \(45^{\circ}\). SUFFICIENT.
Statement 2) x + z = \(90^{\circ}\)
=> x = z
=> 2x = \(90^{\circ}\)
=> x = \(45^{\circ}\). SUFFICIENT.
OPTION : D
1) Opposite angles are congruent.
2) Consecutive angles are supplementary \(180^{\circ}\)
Statement 1) x = y/3
=> x = z.
=> z = y/3
=> y+z = 180
=> y/3 + y = 180
=> y = \(135^{\circ}\)
=> z = \(45^{\circ}\)
So x = \(45^{\circ}\). SUFFICIENT.
Statement 2) x + z = \(90^{\circ}\)
=> x = z
=> 2x = \(90^{\circ}\)
=> x = \(45^{\circ}\). SUFFICIENT.
OPTION : D
