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

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Math Expert
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Joined: 02 Sep 2009
Posts: 56304
In the figure above, if AD||BC, then x =  [#permalink]

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New post 25 Dec 2018, 08:24
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

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

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GMAT Club Legend
GMAT Club Legend
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D
Joined: 18 Aug 2017
Posts: 4252
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: In the figure above, if AD||BC, then x =  [#permalink]

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New post 26 Dec 2018, 02:07
1
Bunuel wrote:
Image
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
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Joined: 04 Jan 2015
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Re: In the figure above, if AD||BC, then x =  [#permalink]

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New post 26 Dec 2018, 09:12

Solution



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

To find:
    • The value of angle DAB (x)

Approach and Working:
As AD || BC, we can say
    • Angle ADG + 70 + 60 = 180
    Or, angle ADG = 50

In triangle ADG,
    • 50 + 60 + x = 180
    Or, x = 70

Hence, the correct answer is option E.

Answer: E

Image

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

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