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In the figure above, what is a in terms of b and c ?
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25 Jan 2020, 07:00
25 Jan 2020, 07:00
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Question Stats:
91% (00:29) correct
8% (00:58) wrong based on 36 sessions
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#greprepclub In the figure above.jpg [ 11.01 KiB | Viewed 2417 times ]
In the figure above, what is a in terms of b and c ?
A. 180 – b + c
B. 180 + b + c
C. b + c
D. b + c − 180
E. b + c + 180
Kudos for the right answer and explanation
Re: In the figure above, what is a in terms of b and c ?
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25 Jan 2020, 10:08
25 Jan 2020, 10:08
2
In triangle ABC,
\(\angle ABC + \angle ACB + \angle BAC = 180\)
\(b + c + \angle BAC = 180\)
\(\angle BAC = 180 - (b + c)\)
DC is a straight line,
so \(\angle DAB + \angle BAC = 180\)
\(a + 180 -(b+c) = 180\)
\(a = b+c\)
This is also known as the exterior angle theorem.
OA,C
In the figure above, what is a in terms of b and c ?
A. 180 – b + c
B. 180 + b + c
C. b + c
D. b + c − 180
E. b + c + 180
Kudos for the right answer and explanation
\(\angle ABC + \angle ACB + \angle BAC = 180\)
\(b + c + \angle BAC = 180\)
\(\angle BAC = 180 - (b + c)\)
DC is a straight line,
so \(\angle DAB + \angle BAC = 180\)
\(a + 180 -(b+c) = 180\)
\(a = b+c\)
This is also known as the exterior angle theorem.
OA,C
Carcass wrote:
Attachment:
The attachment #greprepclub In the figure above.jpg is no longer available
In the figure above, what is a in terms of b and c ?
A. 180 – b + c
B. 180 + b + c
C. b + c
D. b + c − 180
E. b + c + 180
Kudos for the right answer and explanation
Attachments
triangle.png [ 16.02 KiB | Viewed 2442 times ]
Re: In the figure above, what is a in terms of b and c ?
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17 Jul 2021, 01:56
17 Jul 2021, 01:56
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
