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, line segments RM, SM, and TM bisect the angle
[#permalink]
05 Dec 2019, 12:02
05 Dec 2019, 12:02
Expert Reply
00:00
Question Stats:
58% (01:11) correct
41% (01:49) wrong based on 53 sessions
Hide Show timer Statistics
Attachment:
#greprepclub In the figure, line segments.jpg [ 26.03 KiB | Viewed 6184 times ]
In the figure, line segments \(RM\), \(SM\), and \(TM\) bisect the angles of \(\triangle RST\).
Quantity A |
Quantity B |
\(\frac{x+y}{2}\) |
\(33\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Re: In the figure, line segments RM, SM, and TM bisect the angle
[#permalink]
15 Jan 2020, 07:15
15 Jan 2020, 07:15
1
Carcass wrote:
Attachment:
#greprepclub In the figure, line segments.jpg
In the figure, line segments \(RM\), \(SM\), and \(TM\) bisect the angles of \(\triangle RST\).
Quantity A |
Quantity B |
\(\frac{x+y}{2}\) |
\(33\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Here,
line segments \(RM\), \(SM\), and \(TM\) bisect the angles of \(\triangle RST\)
so,
\(\angle MSR = \angle MST = y\)
\(\angle SRM = \angle TRM = x\)
\(\angle MTR = \angle MTS = 24\)
In \(\triangle RST\),
\(\angle MSR + \angle MST + \angle SRM + \angle TRM + \angle MTR + \angle MTS = 180\)
or \(2y + 2x + 48 =180\)
or\( x + y = 66\)
Now,
QTY A = \(\frac{x+y}{2}\) = \(\frac{66}{2} = 33\)
QTY B = \(33\)
i.e Option C
gmatclubot
Re: In the figure, line segments RM, SM, and TM bisect the angle [#permalink]
15 Jan 2020, 07:15
Moderators:
