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# In the figure above, lines j and k intersect line m. If a = b, which

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Math Expert
Joined: 02 Sep 2009
Posts: 54376
In the figure above, lines j and k intersect line m. If a = b, which  [#permalink]

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28 Jul 2017, 01:09
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78% (01:00) correct 22% (01:57) wrong based on 26 sessions

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In the figure above, lines j and k intersect line m. If a = b, which of the following must equal x?

(A) a
(B) b
(C) c
(D) e
(E) f

Attachment:

2017-07-28_1149.png [ 6.91 KiB | Viewed 1240 times ]

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Concentration: Strategy, Technology
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GMAT 2: 740 Q51 V38
Re: In the figure above, lines j and k intersect line m. If a = b, which  [#permalink]

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28 Jul 2017, 01:15
Bunuel wrote:

In the figure above, lines j and k intersect line m. If a = b, which of the following must equal x?

(A) a
(B) b
(C) c
(D) e
(E) f

Attachment:
2017-07-28_1149.png

x = 180-a = 180-b = c

C
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Luckisnoexcuse
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Joined: 22 May 2016
Posts: 2642
In the figure above, lines j and k intersect line m. If a = b, which  [#permalink]

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28 Jul 2017, 11:33
Bunuel wrote:

In the figure above, lines j and k intersect line m. If a = b, which of the following must equal x?

(A) a
(B) b
(C) c
(D) e
(E) f

Attachment:
2017-07-28_1149.png

a = b, substitute a for b in:

b + c = 180
|
a + c = 180
a + x = 180 -- subtract
c - x = 0

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Joined: 09 Dec 2014
Posts: 37
Re: In the figure above, lines j and k intersect line m. If a = b, which  [#permalink]

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30 Jul 2017, 06:03
Bunuel wrote:

In the figure above, lines j and k intersect line m. If a = b, which of the following must equal x?

(A) a
(B) b
(C) c
(D) e
(E) f

Attachment:
2017-07-28_1149.png

From figure, x=180-a and c=180-b. Given, a=b.
So, c=180-a, which is equal to x. Therefore, x=c.

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Ramya
Re: In the figure above, lines j and k intersect line m. If a = b, which   [#permalink] 30 Jul 2017, 06:03
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