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

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What is the value of a + b + c + d? [#permalink] New post 04 Jan 2019, 07:57
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Question Stats:

50% (01:13) correct 50% (01:07) wrong based on 6 sessions
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#GREpracticequestion What is the value of a + b + c + d.png
#GREpracticequestion What is the value of a + b + c + d.png [ 8.52 KiB | Viewed 273 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

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2 KUDOS received
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Re: What is the value of a + b + c + d? [#permalink] New post 05 Jan 2019, 10:55
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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:
Image
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:
Image
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
Image
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

Answer: D

Cheers,
Brent
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Re: What is the value of a + b + c + d? [#permalink] New post 07 Jan 2019, 17:42
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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 ?
1 KUDOS received
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Re: What is the value of a + b + c + d? [#permalink] New post 07 Jan 2019, 18:17
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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
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: What is the value of a + b + c + d?   [#permalink] 07 Jan 2019, 18:17
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