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In the figure shown, AB || CD. x = ?
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07 Dec 2021, 08:08
07 Dec 2021, 08:08
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Question Stats:
63% (01:39) correct
36% (02:12) wrong based on 22 sessions
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In the figure shown, \(AB || CD. x =\) ?
A. 40
B. 70
C. 100
D. 110
E. 140
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In the figure shown, AB || CD. x = ?
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07 Dec 2021, 08:36
07 Dec 2021, 08:36
Carcass wrote:
In the figure shown, \(AB || CD. x =\) ?
A. 40
B. 70
C. 100
D. 110
E. 140
To begin, let's remove the angle (x + 10) degrees and add a third line which is parallel to the other two lines:
Will now use the following properties when a transversal passes through parallel lines:
First, the angle here equals 80 degrees:
And the angle here equals 30 degrees:
So, the angle in question equals 110 degrees:
This means we can write: x + 10 = 110, which means x = 100
Answer: C
gmatclubot
Re: In the figure shown, AB || CD. x = ? [#permalink]
07 Dec 2021, 08:36
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