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# In the figure shown, line segment AD is parallel to line

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In the figure shown, line segment AD is parallel to line [#permalink]  04 Aug 2008, 03:30
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Question Stats:

60% (01:01) correct 40% (02:15) wrong based on 10 sessions
In the figure shown, line segment AD is parallel to line segment BC. What is the value of x?
(1) y = 50
(2) z = 40

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Triangle.doc [27.5 KiB]

SVP
Joined: 07 Nov 2007
Posts: 1828
Location: New York
Followers: 29

Kudos [?]: 552 [0], given: 5

Re: DS: Geometry [#permalink]  04 Aug 2008, 07:50
tarek99 wrote:
In the figure shown, line segment AD is parallel to line segment BC. What is the value of x?
(1) y = 50
(2) z = 40

Either statement alone is not sufficient

combined both is sufficient.

Will go with C.
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Intern
Affiliations: CFA Charterholder
Joined: 25 Oct 2010
Posts: 24
Schools: EWMBA Haas
Followers: 0

Kudos [?]: 4 [0], given: 5

Re: DS: Geometry [#permalink]  30 Sep 2011, 14:01
Given that BC is parallel to AD, extend both lines to visually see that line AC is a transversal for the parallel lines BC and AD.

a) Thus, as the # of degrees for a straight line is equal to 180, and given that y = 50, by the alternate interior angle rule, the angle adjacent to angle x will also be 50 degrees. And since we've extended line BC beyond point C, angle x will equal 180 (degress in a straight line) minus 50.

b) Same thought process as above. Now, line CD is the transversal between parallel lines BC and AD, again allowing us to find the measure of angle x.

Although I could be totally off.

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Joined: 09 Sep 2011
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Re: DS: Geometry [#permalink]  30 Sep 2011, 16:17
baker2145 wrote:
Given that BC is parallel to AD, extend both lines to visually see that line AC is a transversal for the parallel lines BC and AD.

a) Thus, as the # of degrees for a straight line is equal to 180, and given that y = 50, by the alternate interior angle rule, the angle adjacent to angle x will also be 50 degrees. And since we've extended line BC beyond point C, angle x will equal 180 (degress in a straight line) minus 50.

b) Same thought process as above. Now, line CD is the transversal between parallel lines BC and AD, again allowing us to find the measure of angle x.

Although I could be totally off.

looks like question is wrong. how did u come up with D?
Re: DS: Geometry   [#permalink] 30 Sep 2011, 16:17
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# In the figure shown, line segment AD is parallel to line

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