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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] New post 04 Aug 2008, 04:30
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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


Please explain
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Re: DS: Geometry [#permalink] New post 04 Aug 2008, 08:50
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


Please explain


Either statement alone is not sufficient

combined both is sufficient.

Will go with C.
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Re: DS: Geometry [#permalink] New post 30 Sep 2011, 15:01
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.

My answer: D

Although I could be totally off.

What's official answer please?
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Re: DS: Geometry [#permalink] New post 30 Sep 2011, 17:17
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.

My answer: D

Although I could be totally off.

What's official answer please?



looks like question is wrong. how did u come up with D?
Re: DS: Geometry   [#permalink] 30 Sep 2011, 17:17
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