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In the figure above, the angle marked at c has been created by extendi

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 56371
In the figure above, the angle marked at c has been created by extendi  [#permalink]

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New post 04 Apr 2018, 23:24
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

50% (00:56) correct 50% (00:59) wrong based on 62 sessions

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Joined: 05 Feb 2016
Posts: 169
Location: India
Concentration: General Management, Marketing
WE: Information Technology (Computer Software)
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Re: In the figure above, the angle marked at c has been created by extendi  [#permalink]

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New post 04 Apr 2018, 23:36
2
Bunuel wrote:
Image
In the figure above, the angle marked at c has been created by extending the base of the triangle, as shown. What is the sum of a, b, and c?


(1) a = 85
(2) b = 60

Attachment:
Triangle_with_extended_side.png


from fig b+c=180
from1:a=85

sum of a, b, and c=85+180
sufficient

from 2:insufficient
CEO
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Joined: 12 Sep 2015
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Re: In the figure above, the angle marked at c has been created by extendi  [#permalink]

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New post 21 Feb 2019, 07:56
Top Contributor
Bunuel wrote:
Image
In the figure above, the angle marked at c has been created by extending the base of the triangle, as shown. What is the sum of a, b, and c?


(1) a = 85
(2) b = 60

Attachment:
Triangle_with_extended_side.png


Target question: What is the sum of a, b, and c?
This is a good candidate for rephrasing the target question.

Since angles on a line add to 180°, we already know that b + c = 180
We get: a + b + c = a + 180
So, in order to find the sum of a, b and c, we need only find the value of a
REPHRASED target question: What is the value of a?

Aside: The video below has tips on rephrasing the target question

Statement 1: a = 85
Perfect! The answer to the REPHRASED target question is a = 85
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: b = 60
We have no information about a
Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT

Answer: A

Cheers,
Brent

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Re: In the figure above, the angle marked at c has been created by extendi   [#permalink] 21 Feb 2019, 07:56
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