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# The line t passes through the lines l and k and forms the angles u, v

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Math Expert
Joined: 02 Sep 2009
Posts: 47166
The line t passes through the lines l and k and forms the angles u, v  [#permalink]

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24 Oct 2017, 23:57
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Difficulty:

45% (medium)

Question Stats:

50% (00:55) correct 50% (00:38) wrong based on 42 sessions

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The line t passes through the lines l and k and forms the angles u, v, x, y, a, b, c, and d. Is line l parallel to line k?

(1) x = u
(2) u = a

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2017-10-25_1056.png [ 5.91 KiB | Viewed 541 times ]

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Re: The line t passes through the lines l and k and forms the angles u, v  [#permalink]

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25 Oct 2017, 00:28
Option B

From st1 we can conclude lines t and l are perpendicular. However there’s no info about line l’s relation with line k. Hence insufficient
From st2 we can conclude that line t is perpendicular to line l and line k. When a line is perpendicular to two lines the two lines are parallel. Hence sufficient.

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Re: The line t passes through the lines l and k and forms the angles u, v  [#permalink]

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25 Oct 2017, 04:16
(1) we can deduce that line t is perpendicular to line l, however no information about k
(2) u can be equal to a in multiple cases including situation when l and k are not parallel
(1)+(2)
x=u=a hence l is parallel to k
Re: The line t passes through the lines l and k and forms the angles u, v &nbs [#permalink] 25 Oct 2017, 04:16
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