In the figure below, if lines k and m are parallel, what is the value
of x?
(1) z = 110
(2) y = z
Why option 2 is insufficient here......
of x?
(1) z = 110
(2) y = z
Why option 2 is insufficient here......
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Lines and angles problem
Source: Beat The GMAT — Data Sufficiency |
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nathanalgren
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Because you don't even need option two to know y=z. If they are parallel, y=z.And the option 2 does not give you anything you don't already know. Therefore you cannot solve this question.
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nathanalgren
- Senior | Next Rank: 100 Posts
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You are welcome. If it said x=z or x=y, then you could solve it and the answer would be 90.The Jock wrote:Hey nathanalgren,
Thanks a lot.
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nathanalgren
- Senior | Next Rank: 100 Posts
- Posts: 46
- Thanked: 2 times
Because of that the lines are parallel, x+z and x+y are equal to 180 (straight line is 180 degrees). So if x=z or x=y, insert them into the equations and you get 2x=180 and x=90.raunakrajan wrote:how would it be 90 could you pls explain!
You're correct that the answer is A, however, the Angle x is not 90 degrees, but rather it is 70 degrees. Z and Y have the the same angle degree because they are alternate exterior angle. Thus the Z and X are supplementary angles and add up to 180 degrees.
Hope that helps!
Hope that helps!
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nathanalgren
- Senior | Next Rank: 100 Posts
- Posts: 46
- Thanked: 2 times
That is for option 1. We were talking about something else.Haaress wrote:You're correct that the answer is A, however, the Angle x is not 90 degrees, but rather it is 70 degrees. Z and Y have the the same angle degree because they are alternate exterior angle. Thus the Z and X are supplementary angles and add up to 180 degrees.
Hope that helps!
