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XY = YZ

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XY = YZ [#permalink] New post   24 Sep 2018, 11:57
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Attachment:
#GREpracticequestion XY = YZ.jpg
#GREpracticequestion XY = YZ.jpg [ 7.54 KiB | Viewed 2925 times ]


\(\overline{XY}\) = \(\overline{YZ}\)

Quantity A
Quantity B
\(q\)
\(2m-180\)


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.
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C
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HappyMathtutor
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Re: XY = YZ [#permalink] New post   15 Dec 2018, 22:20
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XY=YZ means that this is an isosceles triangle.
imagine q =90, then its a 45,45,90 triangle, and m=135
then 2m-180 = 2(135)-180 = 270-180=90=q
boom.
the answer is C
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Re: XY = YZ [#permalink] New post   16 Dec 2018, 07:40
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\(\overline{XY}\) = \(\overline{YZ}\)

Quantity A
Quantity B
\(q\)
\(2m-180\)


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.[/quote]

Attachment:
#GREpracticequestion XY = YZ.jpg
#GREpracticequestion XY = YZ.jpg [ 6.9 KiB | Viewed 2946 times ]


Look at the attached figure..
Angle XYZ=XZY=180-m.. so q=180-(180-m+180-m)=180-(360-2m)=2m-180..
Thus A=B

C
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Sawant91
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Re: XY = YZ [#permalink] New post   16 Dec 2018, 07:46
C
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Fatemeh
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Re: XY = YZ [#permalink] New post   16 Dec 2018, 13:49
1
Answer: C
XY = YZ so the X and Z_left angles of the triangle are equal.


Z_left + Z_right = 180
Z_right = 180 - Z_left (We have X = Z_left, So: Z_right = 180 - X = m)


And We have: Y + X + Z_left = 180 in XYZ (As X and Z_left are equal, we have: 2X + q = 180

Now we have: 180 - X = m and 2X + q = 180
q = 180 - 2X (X = 180 -m):
q = 180 -2(180-m) = 2m - 180


So A and B are equal
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Re: XY = YZ [#permalink] New post   11 Jan 2019, 16:50
chetan2u wrote:

Look at the attached figure..
Angle XYZ=XZY=180-m.. so q=180-(180-m+180-m)=180-(360-2m)=2m-180..
Thus A=B

C


How does it possible?
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Re: XY = YZ [#permalink] New post   24 Nov 2022, 01:27
Can anyone give another approach or easier way to solve the question.
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Re: XY = YZ [#permalink] New post   24 Nov 2022, 02:15
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There is not another approach

m is an external angle. With just basic theory of alternative angles the question is pretty easy

here more https://gre.myprepclub.com/forum/gre-ge ... tml#p82034
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gmatclubot
Re: XY = YZ [#permalink]
24 Nov 2022, 02:15
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