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Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
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What is the value of a + b + c + d?
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04 Jan 2019, 07:57
04 Jan 2019, 07:57
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Question Stats:
63% (01:54) correct
36% (01:42) wrong based on 73 sessions
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#GREpracticequestion What is the value of a + b + c + d.png [ 8.52 KiB | Viewed 5111 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
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: What is the value of a + b + c + d?
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05 Jan 2019, 10:55
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:
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
Answer: D
Cheers,
Brent
Re: What is the value of a + b + c + d?
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07 Jan 2019, 17:42
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
b + s + y = 150
Is it a typo b+ s +x=150
I mean, is it s or d ?
