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, m, and n intersect at O. Which one o
[#permalink]
21 Sep 2018, 09:11
21 Sep 2018, 09:11
Expert Reply
2
Bookmarks
00:00
Question Stats:
56% (02:21) correct
43% (01:59) wrong based on 37 sessions
Hide Show timer Statistics
Attachment:
#GREpracticequestion In the figure, lines l, m, and n intersect at O.jpg [ 18.47 KiB | Viewed 6137 times ]
In the figure, lines l, m, and n intersect at O. Which one of the following must be true about the value of a ?
A. \(a < \frac{5}{8}\)
B. \(a = \frac{5}{7}\)
C. \(a = \frac{5}{6}\)
D. \(a = 1\)
E. \(a > 1\)
Re: In the figure, lines l, m, and n intersect at O. Which one o
[#permalink]
03 Oct 2018, 13:17
03 Oct 2018, 13:17
5
Expert Reply
We have 3 unkown terms x, y and a.
In the figure below angles marked in red are equal to each other and angles marked in blue are equal to each other.
Inkedlines_LI.jpg [ 821.23 KiB | Viewed 7245 times ]
So from there we can write:
\(x=ay\) and \(x+10=y\)
Also angle marked in yellow is 180 because it lies on a line
\(x+y+120=180\) or \(x+y+10=70\) or \(x+10+y=70\) or \(y+y=70\) (from the second equation above) or \(y=35\) and \(x=25\)
\(ay=x\) or \(a=\frac{x}{y}=\frac{25}{35}=\frac{5}{7}\).
In the figure below angles marked in red are equal to each other and angles marked in blue are equal to each other.
Attachment:
Inkedlines_LI.jpg [ 821.23 KiB | Viewed 7245 times ]
So from there we can write:
\(x=ay\) and \(x+10=y\)
Also angle marked in yellow is 180 because it lies on a line
\(x+y+120=180\) or \(x+y+10=70\) or \(x+10+y=70\) or \(y+y=70\) (from the second equation above) or \(y=35\) and \(x=25\)
\(ay=x\) or \(a=\frac{x}{y}=\frac{25}{35}=\frac{5}{7}\).
General Discussion
Re: In the figure, lines l, m, and n intersect at O. Which one o
[#permalink]
02 Oct 2018, 06:55
02 Oct 2018, 06:55
solution pls??
