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In the figure above, lines \(a\) and \(b\) are parallel. What is \(x?\)

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by Vincen » Sun Feb 14, 2021 11:55 am

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gmatbusters.jpg
In the figure above, lines \(a\) and \(b\) are parallel. What is \(x?\)

A) 9
B) 18
C) 36
D) 45
E) 54

Answer: E

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Re: In the figure above, lines \(a\) and \(b\) are parallel. What is \(x?\)

by Scott@TargetTestPrep » Tue Feb 23, 2021 3:34 pm
Vincen wrote: ↑
Sun Feb 14, 2021 11:55 am
 gmatbusters.jpg

In the figure above, lines \(a\) and \(b\) are parallel. What is \(x?\)

A) 9
B) 18
C) 36
D) 45
E) 54

Answer: E

Solution:


We see that x = 6y and 2y + 3x = 180. Therefore, we have:

2y + 3(6y) = 180

20y = 180

y = 9

Since y = 9 and x = 6y, x = 6(9) = 54.

Answer: E

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