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In the figure above, if lines k and m are parallel, what is the value
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23 Sep 2018, 05:10
23 Sep 2018, 05:10
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In the figure above, if lines k and m are parallel, what is the value of x ?
(1) y = 120
(2) z = 60
Attachment:
2018-09-23_1609.png [ 534.44 KiB | Viewed 10170 times ]
Re: In the figure above, if lines k and m are parallel, what is the value
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23 Sep 2018, 05:48
23 Sep 2018, 05:48
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Since lines k and m are parallel --> x+y = 180° and z = x
(1) y = 120 --> x = 60. Sufficient.
(2) z = 60 --> x = 60. Sufficient.
The correct answer is D.
(1) y = 120 --> x = 60. Sufficient.
(2) z = 60 --> x = 60. Sufficient.
The correct answer is D.
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Joined: 12 Sep 2015
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Re: In the figure above, if lines k and m are parallel, what is the value
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28 Dec 2020, 10:35
28 Dec 2020, 10:35
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Bunuel
In the figure above, if lines k and m are parallel, what is the value of x ?
(1) y = 120
(2) z = 60
Attachment:
2018-09-23_1609.png
Target question: What is the value of x ?
Here's what we know when a line intersects two parallel lines
When we apply these properties to the given diagram, we can make the following conclusions:
i) x = z
ii) y + z = 180
iii) x + y = 180
Statement 1: y = 120
Since we know that x + y = 180, we can conclude that x = 60
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: z = 60
Since we know that x = z, we can conclude that x = 60
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
