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

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pm; Thanked: 6 times; Followed by:5 members

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

by Vincen » Sun Feb 14, 2021 11:55 am

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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

Source: Economist

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Source: Beat The GMAT — Problem Solving | Sun Feb 14, 2021 11:55 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

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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