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In the figure above, lines l and k are parallel. If y - x = 30, what
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22 Dec 2022, 10:11
22 Dec 2022, 10:11
Expert Reply
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Question Stats:
66% (01:04) correct
33% (01:09) wrong based on 27 sessions
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GRE In the figure above, lines.jpg [ 16.27 KiB | Viewed 1182 times ]
In the figure above, lines \(\ell\) and \(k\) are parallel. If y - x = 30, what is z?
(A) 60
(B) 75
(C) 90
(D) 105
(E ) 120
Re: In the figure above, lines l and k are parallel. If y - x = 30, what
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04 Jan 2023, 03:31
04 Jan 2023, 03:31
Expert Reply
OE
Because / and k are parallel, the horizonal line creates a transversal. As a result, y = z. In addition, x + y = 180, because x and y are supplementary angles. The question stem tells you that y - x = 30. If you add these two equations together, you get 2y = 210, or y = 105. Therefore, z = 105.
Because / and k are parallel, the horizonal line creates a transversal. As a result, y = z. In addition, x + y = 180, because x and y are supplementary angles. The question stem tells you that y - x = 30. If you add these two equations together, you get 2y = 210, or y = 105. Therefore, z = 105.
gmatclubot
Re: In the figure above, lines l and k are parallel. If y - x = 30, what [#permalink]
04 Jan 2023, 03:31
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