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

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

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New post 24 Oct 2017, 22:57
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A
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  45% (medium)

Question Stats:

49% (00:53) correct 51% (00:40) wrong based on 37 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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[Reveal] Spoiler: OA

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Kudos [?]: 135392 [0], given: 12691

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Joined: 17 Oct 2016
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Kudos [?]: 38 [0], given: 89

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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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New post 24 Oct 2017, 23:28
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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Kudos [?]: 38 [0], given: 89

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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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New post 25 Oct 2017, 03:16
(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
Answer C.

Kudos [?]: 26 [0], given: 49

Re: The line t passes through the lines l and k and forms the angles u, v   [#permalink] 25 Oct 2017, 03:16
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