GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Line K is parallel to line m.
[#permalink]
19 Aug 2020, 11:53
19 Aug 2020, 11:53
Expert Reply
1
Bookmarks
00:00
Question Stats:
80% (00:41) correct
20% (00:27) wrong based on 30 sessions
Hide Show timer Statistics
Attachment:
GRE Line k is parallel to line m.png [ 7.42 KiB | Viewed 2422 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.
[#permalink]
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!
Retired Moderator
Joined: 20 Aug 2020
Posts: 49
Given Kudos: 0
Re: Line K is parallel to line m.
[#permalink]
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.
