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Difficulty:
45%
(medium)
Question Stats:
61% (01:43) correct
39%
(02:04)
wrong
based on 50
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure above, is \(l_1\) parallel to \(l_2\)?
(1) x + 90 = 280 - y
(2) w + y = x + z
Attachment:
2020-10-18_00-34-27.png [ 8.32 KiB | Viewed 1681 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:
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Bunuel
For the 2 lines to be parallel, we should be able to prove that w = x (Exterior alternate angles) or that y = z (corresponding angles) or y + x = 180 (Supplement of x i.e 180 - x is = alternate angle of y. Therefore x + y = 180)
Statement 1: x + 90 = 280 - y
From this, we get that x + y = 280 - 90 = 190
Since x + y ≠ 180, the 2 lines are NOT parallel.
Therefore Statement 1 Alone is Sufficient. Answer options could be A or D.
Statement 2: w + y = x + z
w + y = 180 (since they lie on the same straight line.
x + z is also 180, since they lie on the same straight lie.
These statements do not help to decide if the lines are parallel or not.
Therefore Statement 2 Alone is Insufficient.
Option A
Arun Kumar
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