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Joined: 16 May 2014
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GRE 1: Q165 V161
GRE Math Challenge #8- What is the value of w in terms of x
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30 Sep 2014, 04:23
30 Sep 2014, 04:23
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Question Stats:
63% (01:48) correct
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What is the value of w in terms of x and y?
geo.JPG [ 19.21 KiB | Viewed 5733 times ]
A) \(2x+2y-180\)
B) \(180-x-y\)
C) \(360-2x-2y\)
D) \(360-2x-3y\)
E) \(180+x-2y\)
Attachment:
geo.JPG [ 19.21 KiB | Viewed 5733 times ]
A) \(2x+2y-180\)
B) \(180-x-y\)
C) \(360-2x-2y\)
D) \(360-2x-3y\)
E) \(180+x-2y\)
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Re: GRE Math Challenge #8- What is the value of w in terms of x
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20 Apr 2020, 16:10
20 Apr 2020, 16:10
1
soumya1989 wrote:
What is the value of w in terms of x and y?
A) \(2x+2y-180\)
B) \(180-x-y\)
C) \(360-2x-2y\)
D) \(360-2x-3y\)
E) \(180+x-2y\)
Attachment:
The attachment geo.JPG is no longer available
A) \(2x+2y-180\)
B) \(180-x-y\)
C) \(360-2x-2y\)
D) \(360-2x-3y\)
E) \(180+x-2y\)
In the diagram below, we have:
Attachment:
1.JPG [ 21.16 KiB | Viewed 3265 times ]
For triangle ABC: Angle ACB = 180 - (x+y)
For triangle RQC: Angle RQC = 180 - Angle RQB = 180 - (x+y)
=> Angle QRC = w = 180 - (Angle RCQ + Angle RQC)
=> w = 180 - [(180 - x - y) + (180 - x - y)]
=> w = 180 - 360 + 2x + 2y
=> w = 2x + 2y - 180
Answer A
Re: GRE Math Challenge #8- What is the value of w in terms of x
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20 Apr 2020, 16:14
20 Apr 2020, 16:14
Expert Reply
Great explanation Sir.
thank you.
regards
thank you.
regards
