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TAGS: GRE Instructor Joined: 10 Apr 2015
Posts: 1995
Followers: 60

Kudos [?]: 1811  , given: 9

What is the value of a + b + c + d? [#permalink]
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Expert's post 00:00

Question Stats: 60% (01:20) correct 40% (01:19) wrong based on 10 sessions
Attachment: #GREpracticequestion What is the value of a + b + c + d.png [ 8.52 KiB | Viewed 458 times ]

What is the value of a + b + c + d?

A. 110
B. 120
C. 130
D. 150
E. Cannot be determined from the information above
[Reveal] Spoiler: OA

_________________

Brent Hanneson – Creator of greenlighttestprep.com  GRE Instructor Joined: 10 Apr 2015
Posts: 1995
Followers: 60

Kudos [?]: 1811  , given: 9

Re: What is the value of a + b + c + d? [#permalink]
2
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Expert's post
GreenlightTestPrep wrote:
Attachment:
#GREpracticequestion What is the value of a + b + c + d.png

What is the value of a + b + c + d?

A. 110
B. 120
C. 130
D. 150
E. Cannot be determined from the information above

I can see some triangles that include the necessary angles (a, b, c and d)
So, let's add some extra angles, x and y: Since x, 30 and y are on a line, we know that x + y + 30 = 180
This means that x + y = 150

Now let's examine some hidden triangles. Here's one: Since angles in a triangle add to 180 degrees, we can write: a + c + x + 30 = 180
Subtract 30 from both sides to get: a + c + x = 150

Here's another hidden triangle Since angles in a triangle add to 180 degrees, we can write: b + d + y + 30 = 180
Subtract 30 from both sides to get: b + d + y = 150

We now have two equations:
a + c + x = 150
b + d + y = 150

ADD them to get: a + b + c + d + x + y = 300
Since x + y = 150, we can write: a + b + c + d + 150 = 300
Subtract 150 from both sides to get: a + b + c + d = 150

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com  Director Joined: 09 Nov 2018
Posts: 508
Followers: 0

Kudos [?]: 27  , given: 1

Re: What is the value of a + b + c + d? [#permalink]
1
KUDOS
GreenlightTestPrep wrote:
Subtract 30 from both sides to get: b + s + y = 150

b + s + y = 150

Is it a typo b+ s +x=150
I mean, is it s or d ? GRE Instructor Joined: 10 Apr 2015
Posts: 1995
Followers: 60

Kudos [?]: 1811  , given: 9

Re: What is the value of a + b + c + d? [#permalink]
1
KUDOS
Expert's post
AE wrote:
GreenlightTestPrep wrote:
Subtract 30 from both sides to get: b + s + y = 150

b + s + y = 150

Is it a typo b+ s +x=150
I mean, is it s or d ?

Good catch!
I've fixed that typo.

Cheers and thanks,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com  Re: What is the value of a + b + c + d?   [#permalink] 07 Jan 2019, 18:17
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