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.
Director
Joined: 16 May 2014
Posts: 592
Given Kudos: 0
GRE 1: Q165 V161
GRE Math Challenge #9- triangle with external angle
[#permalink]
30 Sep 2014, 04:38
30 Sep 2014, 04:38
1
Expert Reply
1
Bookmarks
00:00
Question Stats:
74% (00:48) correct
25% (01:20) wrong based on 232 sessions
Hide Show timer Statistics
Attachment:
#greprepclub 180+a.jpg [ 9.43 KiB | Viewed 5615 times ]
Quantity A |
Quantity B |
180+a |
b+c |
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
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: GRE Math Challenge #9
[#permalink]
12 Apr 2015, 08:52
12 Apr 2015, 08:52
4
soumya1989 wrote:
Attachment:
geo2.JPG
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
------------------------------------------------------------------
Let x be the angle that's next to angle b and INSIDE the triangle.
So, we know that x + b = 180
Or we can write x = 180 - b
Let y be the angle that's next to angle c and INSIDE the triangle.
So, we know that y + c = 180
Or we can write y = 180 - c
Since angles a, x and y are the 3 angles in the triangle, we can write: a + x + y = 180
Now replace x and y to get: a + (180 - b) + (180 - c) = 180
Simplify to get: a - b - c + 360 = 180
Rearrange to get a + 180 = b + c
AHA, this is EXACTLY what we are comparing.
Answer:
Show: ::
C
Cheers,
Brent
Re: GRE Math Challenge #9- triangle with external angle
[#permalink]
16 Feb 2020, 10:21
16 Feb 2020, 10:21
Expert Reply
Bump for further discussion
