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# In the figure above, ℓ1 is parallel to ℓ2 and ℓ2 is parallel to ℓ3. Wh

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Joined: 02 Sep 2009
Posts: 55732
In the figure above, ℓ1 is parallel to ℓ2 and ℓ2 is parallel to ℓ3. Wh  [#permalink]

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25 Dec 2018, 02:37
00:00

Difficulty:

25% (medium)

Question Stats:

78% (01:14) correct 22% (01:31) wrong based on 49 sessions

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In the figure above, ℓ1 is parallel to ℓ2 and ℓ2 is parallel to ℓ3. What is the value of a + b + c + d + e?

A. 180
B. 270
C. 360
D. 450
E. It cannot be determined from the information given

Attachment:

2018-12-25_1334.png [ 11.51 KiB | Viewed 497 times ]

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Joined: 29 Dec 2018
Posts: 23
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GMAT 1: 540 Q44 V21
Re: In the figure above, ℓ1 is parallel to ℓ2 and ℓ2 is parallel to ℓ3. Wh  [#permalink]

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30 Dec 2018, 04:32
Here,

Line L1 || Line L2 || Line L3

Angle e + Angle d = 180 (straight angles)
Angle a + Angle c = 180 (straight angles and because Line L2 || Line L3)

So we know sum of angles cannot be less than (180+180 from above) 360 because Angle b is still remaining to calculate.
Eliminate answer choice A, B & C.

Also answer choice D says sum= 450 which means our remaining angle d = 90 degrees (which cannot be proven in any case)

Hence answer choice E is the correct option.
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Re: In the figure above, ℓ1 is parallel to ℓ2 and ℓ2 is parallel to ℓ3. Wh  [#permalink]

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30 Dec 2018, 09:14
Bunuel wrote:

In the figure above, ℓ1 is parallel to ℓ2 and ℓ2 is parallel to ℓ3. What is the value of a + b + c + d + e?

A. 180
B. 270
C. 360
D. 450
E. It cannot be determined from the information given

Attachment:
2018-12-25_1334.png

Angles d + e = 180 degrees.
Angles a+b = 180 degrees.
Value of angle c cannot be determined. Hence, total will be greater than 360 but may or may not be 450.

Hence, OA E
Re: In the figure above, ℓ1 is parallel to ℓ2 and ℓ2 is parallel to ℓ3. Wh   [#permalink] 30 Dec 2018, 09:14
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