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# In the figure, lines l and k are parallel. Which one of the following

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Math Expert
Joined: 02 Sep 2009
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In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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09 Apr 2019, 02:57
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Difficulty:

95% (hard)

Question Stats:

15% (01:48) correct 85% (01:53) wrong based on 47 sessions

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In the figure, lines l and k are parallel. Which one of the following must be true?

(A) a < b
(B) a ≤ b
(C) a = b
(D) a ≥ b
(E) a > b

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2019-04-09_1354.png [ 22.04 KiB | Viewed 594 times ]

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In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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Updated on: 11 Apr 2019, 11:14
D.

If we draw another parallel line crossing through point O. We will have two angles now. The lower angle would be equal to b. The upper angle would be b+30.
Hence,
$$a = b + b + 30$$
$$a = 2b + 30$$

a = b is a special case when b = -30 degrees. This means that angle a lies on line l and is the alternate equal angle to angle b.

Originally posted by amoghsharma on 10 Apr 2019, 04:05.
Last edited by amoghsharma on 11 Apr 2019, 11:14, edited 1 time in total.
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Joined: 28 Jun 2018
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In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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11 Apr 2019, 11:07
can someone explain why is it D and not E?
Intern
Joined: 21 May 2018
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Re: In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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11 Apr 2019, 11:12
VGaurang wrote:
can someone explain why is it D and not E?

It is possible that a = b for the case when b = -30 degrees. That would make the angle a same as angle b.
I think I’ll edit my answer.

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Re: In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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14 Apr 2019, 08:51
Hi can the angle be negative ? b = -30° ???

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Re: In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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14 Apr 2019, 08:56
1
Hey!

Angles can be be negative. A negative angle means opposite rotation. So, -30 degrees is essentially (360 - 30) degrees ~ 330 degrees.

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Joined: 09 Jun 2017
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GMAT 1: 640 Q44 V35
Re: In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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17 Apr 2019, 06:35
in the figure ,below : a-b-30 must be > 0 right ?
so a-b > 30
how is it possible that a=b ?
0>30 ??
Bunuel
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Re: In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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18 Apr 2019, 09:20
in the figure ,below : a-b-30 must be > 0 right ?
so a-b > 30
how is it possible that a=b ?
0>30 ??
Bunuel

Hey!

Not necessarily. If you’ll see the case when line k is above line l then a-b-30 < 0.

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Re: In the figure, lines l and k are parallel. Which one of the following   [#permalink] 18 Apr 2019, 09:20
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