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Line K is parallel to line m.
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19 Aug 2020, 11:53
19 Aug 2020, 11:53
Expert Reply
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Question Stats:
80% (00:41) correct
20% (00:27) wrong based on 30 sessions
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Attachment:
GRE Line k is parallel to line m.png [ 7.42 KiB | Viewed 4137 times ]
Line k is parallel to line m.
Quantity A |
Quantity B |
\(x+w\) |
\(y+z\) |
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.
Re: Line K is parallel to line m.
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19 Aug 2020, 11:53
19 Aug 2020, 11:53
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
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Re: Line K is parallel to line m.
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20 Aug 2020, 09:25
20 Aug 2020, 09:25
1
Carcass wrote:
Attachment:
GRE Line k is parallel to line m.png
Line k is parallel to line m.
Quantity A |
Quantity B |
\(x+w\) |
\(y+z\) |
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.
Alternate interior angle theorem tells alternate interior angles from transversal and two parallel lines are equal.
Then we have \(x = z\) and \(y = w\), since those pairs of angles are alternate angles separately.
We have \(x + w = z + y = y + z\).
Thus, A and B are equal.
Therefore, C is the right answer.
