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# In the figure above, if AD||BC, then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 56304

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25 Dec 2018, 08:24
00:00

Difficulty:

25% (medium)

Question Stats:

65% (01:20) correct 35% (02:40) wrong based on 40 sessions

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In the figure above, if AD||BC, then x =

A. 20
B. 30
C. 50
D. 60
E. 70

Attachment:

2018-12-25_1922.png [ 20.91 KiB | Viewed 500 times ]

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Joined: 18 Aug 2017
Posts: 4252
Location: India
Concentration: Sustainability, Marketing
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WE: Marketing (Energy and Utilities)

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26 Dec 2018, 02:07
1
Bunuel wrote:

In the figure above, if AD||BC, then x =

A. 20
B. 30
C. 50
D. 60
E. 70

Attachment:
2018-12-25_1922.png

angle fbg= 70
so angle x = 70
IMO E
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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2943

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26 Dec 2018, 09:12

Solution

Given:
In the given figure,
• Angle FCD = 60
• Angle FDC = 70
• Angle BGF = 60

To find:
• The value of angle DAB (x)

Approach and Working:
As AD || BC, we can say
• Angle ADG + 70 + 60 = 180

• 50 + 60 + x = 180
Or, x = 70

Hence, the correct answer is option E.

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Re: In the figure above, if AD||BC, then x =   [#permalink] 26 Dec 2018, 09:12
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