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# The points A and C are on the line l. Is line segment AB greater than

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Math Expert
Joined: 02 Sep 2009
Posts: 50044
The points A and C are on the line l. Is line segment AB greater than  [#permalink]

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25 Oct 2017, 00:02
00:00

Difficulty:

35% (medium)

Question Stats:

70% (01:11) correct 30% (01:25) wrong based on 34 sessions

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The points A and C are on the line l. Is line segment AB greater than line segment BC?

(1) Angle x is greater than angle y.
(2) Angle z is greater than angle x.

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2017-10-25_1101.png [ 6.54 KiB | Viewed 533 times ]

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Intern
Joined: 29 Aug 2017
Posts: 35
Re: The points A and C are on the line l. Is line segment AB greater than  [#permalink]

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25 Oct 2017, 00:18
Is line segment AB > line segment BC? That is, is x > z?
x and z are obtuse

Statement 1:
x > y
x > 180 - z
But, this does not give us any information on whether x > z (for example: x and z can be 110, 130 or 130, 110)
Statement is insufficient

Statement 2:
z > x
So, line segment BC > line segment AB
Statement is sufficient.

Re: The points A and C are on the line l. Is line segment AB greater than &nbs [#permalink] 25 Oct 2017, 00:18
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