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l is parallel to m, what is the value of x+y?

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by Max@Math Revolution » Tue Jul 23, 2019 11:55 pm

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[GMAT math practice question]

l is parallel to m, what is the value of x+y?

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1) A=100
2) B=50
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Source: — Data Sufficiency |
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by Max@Math Revolution » Fri Jul 26, 2019 12:13 am
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Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question. We should simplify conditions if necessary.

< x = < A + < B and < y = 180 - < A.
Therefore, x + y = < A + < B + 180 - < A = < B + 180.

Thus, condition 2) is sufficient on its own.
Therefore, B is the answer.
Answer: B
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