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

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

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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

OA A

Source: Veritas Prep

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BTGmoderatorDC wrote:


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
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: Here’s a video with tips on rephrasing the target question: http://www.gmatprepnow.com/module/gmat-data-sufficiency?id=1100

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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GMAT/MBA Expert

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BTGmoderatorDC wrote:


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
Since b and c form a straight line, b+c = 180.
Thus, the calculate a+b+c, we need to know the value of a.
Question stem, rephrased:
What is the value of a?

Statement 1:
SUFFICIENT.

Statement 2:
No information about a.
INSUFFICIENT.

The correct answer is A.

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