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06 Feb 2018, 05:47
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
81% (00:57) correct
19%
(00:59)
wrong
based on 69
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure above, are l1 and l2 parallel to each other?
(1) x = z
(2) x + y = 180 degrees
Attachment:
2018-02-06_1645.png [ 6.77 KiB | Viewed 5411 times ]
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
06 Feb 2018, 23:26
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Bunuel
l1 and l2 are two lines which might or might not be parallel, and both of them are being intersected by a third line l3, which is called a transversal.
(1) Angle x and Angle z are corresponding angles, if they are equal then the lines l1 and l2 have to be parallel. Because if these two angles are equal, then both lines l1 and l2 will be aligned in the plane at same inclination with respect to l3, which will make angle between l1 and l2 to be 0 degrees. This is sufficient to determine that l1 and l2 are indeed parallel.
(2) Now y + z = 180 degrees (because this is a linear pair of angles, formed on a line)
and if we are given that x + y = 180 degrees also, then we can conclude that x = z. Same as statement 1. So sufficient to determine that l1 and l2 are parallel.
Hence D answer
05 Jul 2023, 14:17
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