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If l and m are parallel in the figure above, which is greater: x + y

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Bunuel
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If l and m are parallel in the figure above, which is greater: x + y [#permalink] If l and m are parallel in the figure above, which is greater: x + y   22 Jan 2016, 10:42
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If l and m are parallel in the figure above, which is greater: x + y or w + z?

(1) \(\angle x\) is not a right angle
(2) \(\angle y = 50°\)

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B
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paidlukkha
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Re: If l and m are parallel in the figure above, which is greater: x + y [#permalink] If l and m are parallel in the figure above, which is greater: x + y   22 Jan 2016, 11:32
keeping x>90, we can see x + y > w + z always
St1 is Suff
Y=50, also is suff to answer x + y > w + z
St2 is suff

Ans D
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rohit8865
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Re: If l and m are parallel in the figure above, which is greater: x + y [#permalink] If l and m are parallel in the figure above, which is greater: x + y   30 Jul 2016, 07:41
Bunuel wrote:

If l and m are parallel in the figure above, which is greater: x + y or w + z?

(1) \(\angle x\) is not a right angle
(2) \(\angle y = 50°\)

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Attachment:
2016-01-17_2130.png

Bunuel
could u please explain how is the OA is C

(2) y=50
then z=50 vertically opp. angles.
thus X=130 as angle below x=50 (corresponding angle to z)
as X=50 then W=130
so x+Y>W+Z
suff..
Ans B
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Re: If l and m are parallel in the figure above, which is greater: x + y [#permalink] If l and m are parallel in the figure above, which is greater: x + y   30 Jul 2016, 07:58
statement 1:
--------------
--> If x<90 . Suppose x=50 , so w=130 (supplementary). so y=130 (corresponding angles) and z=130 (Vertically opp angles)
so x+y=180 and w+z=260
so x+y<w+z.

--> If x>90. Suppose x=130, so w=50, y=z=50.
so x+y=180 and w+z=100
So x+y>w+z

Two possible scenarios. >>> Not Sufficient.

Statement 2:
--------------

y=50, so z=50 and w=50. So x=130(supplementary angles)
x+y=180 and w+z=100
so x+y>w+z

>>>Sufficient

>>>My answer B (Please explain why OA is C?)
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Re: If l and m are parallel in the figure above, which is greater: x + y [#permalink] If l and m are parallel in the figure above, which is greater: x + y   30 Jul 2016, 08:04
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persist99 wrote:
statement 1:
--------------
--> If x<90 . Suppose x=50 , so w=130 (supplementary). so y=130 (corresponding angles) and z=130 (Vertically opp angles)
so x+y=180 and w+z=260
so x+y<w+z.

--> If x>90. Suppose x=130, so w=50, y=z=50.
so x+y=180 and w+z=100
So x+y>w+z

Two possible scenarios. >>> Not Sufficient.

Statement 2:
--------------

y=50, so z=50 and w=50. So x=130(supplementary angles)
x+y=180 and w+z=100
so x+y>w+z

>>>Sufficient

>>>My answer B (Please explain why OA is C?)


I believe you're right; the answer should be B

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Re: If l and m are parallel in the figure above, which is greater: x + y [#permalink] If l and m are parallel in the figure above, which is greater: x + y   15 Oct 2023, 23:48
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Re: If l and m are parallel in the figure above, which is greater: x + y [#permalink]
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