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 above a + b + f =
[#permalink]
07 May 2020, 06:13
07 May 2020, 06:13
1
Expert Reply
3
Bookmarks
00:00
Question Stats:
80% (02:03) correct
19% (03:53) wrong based on 46 sessions
Hide Show timer Statistics
Attachment:
#greprepclub In the figure above a + b + f =.jpg [ 19.83 KiB | Viewed 3014 times ]
In the figure above a + b + f =
A. 180 + (c + d + e)
B. 360 − (c + d + e)
C. 360 + (c + d – e)
D. 540 − (c + d+ e)
E. 540 − (c + d – e)
Kudos for the right answer and explanation
Re: In the figure above a + b + f =
[#permalink]
07 May 2020, 06:43
07 May 2020, 06:43
2
a+b+c = 360
a+b = 360-c
c+f+90+90 = 360
f = 180 - c
a+b+f = 540 -2c
Considering the whole triangle
e+d+f = 180
f = 180-(e+d)
180-c = 180 - (e+d)
c = (e+d) --------(1)
a+b+f = 540-(c+c)
a+b+f = 540-(c+e+d) [Using (1)]
Hence option (D)
a+b = 360-c
c+f+90+90 = 360
f = 180 - c
a+b+f = 540 -2c
Considering the whole triangle
e+d+f = 180
f = 180-(e+d)
180-c = 180 - (e+d)
c = (e+d) --------(1)
a+b+f = 540-(c+c)
a+b+f = 540-(c+e+d) [Using (1)]
Hence option (D)
Intern
Joined: 30 Aug 2020
Posts: 23
Given Kudos: 0
GRE 1: Q165 V170
Re: In the figure above a + b + f =
[#permalink]
09 Oct 2020, 02:10
09 Oct 2020, 02:10
3
The correct answer is D) 540 − (c + d+ e)
From the 3 quadrilaterals created within the triangle, we get
a+d + 90 + 90 = 360
=> a + d = 180
=> a = 180 -d ------------> (1)
b+e + 90 + 90 = 360
=> b + e = 180
=> b = 180 -e ------------> (2)
c+f + 90 + 90 = 360
=> c + f = 180
=> f = 180 -c ------------> (3)
Therefore, (1) + (2) + (3) => a + b + f = 180 - d + 18- - e + 180 - c
=> a + b + f = 3(180) - (c+d+e)
= 540 − (c + d+ e)
From the 3 quadrilaterals created within the triangle, we get
a+d + 90 + 90 = 360
=> a + d = 180
=> a = 180 -d ------------> (1)
b+e + 90 + 90 = 360
=> b + e = 180
=> b = 180 -e ------------> (2)
c+f + 90 + 90 = 360
=> c + f = 180
=> f = 180 -c ------------> (3)
Therefore, (1) + (2) + (3) => a + b + f = 180 - d + 18- - e + 180 - c
=> a + b + f = 3(180) - (c+d+e)
= 540 − (c + d+ e)
