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In the figure, line segments RM, SM, and TM bisect the angle
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05 Dec 2019, 12:02
05 Dec 2019, 12:02
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58% (01:15) correct
41% (01:51) wrong based on 63 sessions
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#greprepclub In the figure, line segments.jpg [ 26.03 KiB | Viewed 7227 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
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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
Re: In the figure, line segments RM, SM, and TM bisect the angle
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26 Jun 2025, 23:46
26 Jun 2025, 23:46
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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).
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