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In the figure shown, lines k and m are parallel to each other. Is x = z

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In the figure shown, lines k and m are parallel to each other. Is x = z [#permalink]

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In the figure shown, lines k and m are parallel to each other. Is x = z ?

(1) x = w
(2) y = 180 - w

[Reveal] Spoiler:
Attachment:
Untitled.png
Untitled.png [ 4.72 KiB | Viewed 4393 times ]
[Reveal] Spoiler: OA

Last edited by Bunuel on 18 Jul 2015, 01:43, edited 1 time in total.
Renamed the topic and edited the question.

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Re: In the figure shown, lines k and m are parallel to each other. Is x = z [#permalink]

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New post 17 Jul 2015, 21:54
WillGetIt wrote:
In the figure shown, lines k and m are parallel to each other. Is x = z ?

(1) X=W
(2) y = 180 —w


1) statement one tells us that X=W..
but W=Z since both are alternate angles between two llel lines.. suff

2) y=180-w... also y=180-x as y and x are supplementary angles.. so w=x , same info as statement 1... suff
D Ans
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Re: In the figure shown, lines k and m are parallel to each other. Is x = z [#permalink]

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New post 03 Jul 2017, 09:10
I made a mistake by discarding second statement since it did not provide any new information. Duh.
Answer is D
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Re: In the figure shown, lines k and m are parallel to each other. Is x = z [#permalink]

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New post 13 Jul 2017, 09:00
Guys can you tell me where can learn the angles stuff?

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Re: In the figure shown, lines k and m are parallel to each other. Is x = z [#permalink]

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iliavko wrote:
Guys can you tell me where can learn the angles stuff?


23. Geometry




24. Coordinate Geometry




25. Triangles




26. Polygons




27. Circles




28. Rectangular Solids and Cylinders



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Re: In the figure shown, lines k and m are parallel to each other. Is x = z [#permalink]

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WillGetIt wrote:
Image
In the figure shown, lines k and m are parallel to each other. Is x = z ?

(1) x = w
(2) y = 180 - w

[Reveal] Spoiler:
Attachment:
Untitled.png


Given : Figure in which k || m
DS : x = z ?
From figure, y = 180 -x

Option 1 : x = w
SO sum of all angles of a quadrilateral = 360
-> y + w +(180 -z) + x(alternate angle) = 360
-> 180 -x + x + 180 - z + x = 360
-> x = z
SUFFICIENT

Option 2 : Y = 180 - w = 180 - x
-> x = w which is smae as option 1
SUFFICIENT

Answer D
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Re: In the figure shown, lines k and m are parallel to each other. Is x = z [#permalink]

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New post 16 Sep 2017, 16:10
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WillGetIt wrote:
Image
In the figure shown, lines k and m are parallel to each other. Is x = z ?

(1) x = w
(2) y = 180 - w

[Reveal] Spoiler:
Attachment:
Untitled.png


Target question: Is x = z ?
Before we examine the statements, let's first recognize that, since k||m, we can conclude that angles w and z are EQUAL
Image

Okay, now onto the statements

Statement 1: x = w
We already learned that w = z
Statement 1 tells us that w = x
Since x and z are both equal to w, it must also be true that x = z
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: y = 180 - w
We can also REPHRASE this as y + w = 180
Since w = z, we can also replace w with z in the above equation to get: y + z = 180
In the diagram, we can see that since angles y and x are on the same line, then y + x = 180
Since both equations are set equal to 180, we can also write: y + z = y + x
From here, we can subtract y from both sides to get z = x
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer:
[Reveal] Spoiler:
D


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Re: In the figure shown, lines k and m are parallel to each other. Is x = z   [#permalink] 16 Sep 2017, 16:10
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In the figure shown, lines k and m are parallel to each other. Is x = z

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