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.
In the figure, lines l and k are parallel. Which one of the
[#permalink]
17 Mar 2019, 02:21
17 Mar 2019, 02:21
Expert Reply
00:00
Question Stats:
80% (01:24) correct
19% (01:45) wrong based on 21 sessions
Hide Show timer Statistics
Attachment:
#GREpracticequestion In the figure, lines l and k are parallel.jpg [ 18.37 KiB | Viewed 5663 times ]
In the figure, lines \(l\) and \(k\) are parallel. Which one of the following must be true?
(A) \(a < b\)
(B) \(a ≤ b\)
(C) \(a = b\)
(D) \(a ≥ b\)
(E) \(a > b\)
Re: In the figure, lines l and k are parallel. Which one of the
[#permalink]
20 Mar 2019, 14:28
20 Mar 2019, 14:28
1
Expert Reply
I drew an imaginary line passing through point O and forming two right triangles, as seen in the attached image.
The angles at O must all add up to 180, so:
60 - b + 90 - b + a = 180
Combine like terms:
150 - 2b + a = 180
Add 2b to both sides:
150 + a = 180 + 2b
Subtract 180:
a - 30 = 2b
Okay, now what is this equation telling us? Well, if we start with a and make it smaller by 30, then it will be equal to twice b. We can see, then, that a must be much greater than b, making the answer E, a > b.
The angles at O must all add up to 180, so:
60 - b + 90 - b + a = 180
Combine like terms:
150 - 2b + a = 180
Add 2b to both sides:
150 + a = 180 + 2b
Subtract 180:
a - 30 = 2b
Okay, now what is this equation telling us? Well, if we start with a and make it smaller by 30, then it will be equal to twice b. We can see, then, that a must be much greater than b, making the answer E, a > b.
Attachments
In the figure, lines l and k are parallel. If a is an acut.png [ 14.51 KiB | Viewed 5556 times ]
Re: In the figure, lines l and k are parallel. Which one of the
[#permalink]
14 Aug 2022, 18:09
14 Aug 2022, 18:09
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
