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# In the figure above if the two lines are parallel and b = 40, what is

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Math Expert
Joined: 02 Sep 2009
Posts: 56357
In the figure above if the two lines are parallel and b = 40, what is  [#permalink]

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22 Aug 2018, 03:50
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In the figure above if the two lines are parallel and b = 40, what is the value of x?

A. 140
B. 110
C. 100
D. 70
E. 40

Attachment:

image004.gif [ 601 Bytes | Viewed 436 times ]

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Re: In the figure above if the two lines are parallel and b = 40, what is  [#permalink]

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22 Aug 2018, 03:55
1
Bunuel wrote:

In the figure above if the two lines are parallel and b = 40, what is the value of x?

A. 140
B. 110
C. 100
D. 70
E. 40

Attachment:
image004.gif

since 2a+b = 180 and b=40
=> a=70.

From the figure x=a+b
x=110.
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Re: In the figure above if the two lines are parallel and b = 40, what is  [#permalink]

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22 Aug 2018, 03:57
1
Angle X and angle a+b are correspoding angles. Means X = A+B.
Since, A+B+A = 180. and B = 40.
A becomes 70.

Therefore angle X = 40+70 = 110.

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Joined: 20 Feb 2015
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Re: In the figure above if the two lines are parallel and b = 40, what is  [#permalink]

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22 Aug 2018, 05:24
1
Bunuel wrote:

In the figure above if the two lines are parallel and b = 40, what is the value of x?

A. 140
B. 110
C. 100
D. 70
E. 40

Attachment:
image004.gif

2a+b=180
a=70

a+x=180
x=110
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Joined: 14 Sep 2014
Posts: 12
Re: In the figure above if the two lines are parallel and b = 40, what is  [#permalink]

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22 Aug 2018, 05:28
It is a simple question of parallel lines.
The above angle x is same as below b+a since lines are parallel

2a+b = 180 (measure of a line)

Solve and x = 110

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Re: In the figure above if the two lines are parallel and b = 40, what is   [#permalink] 22 Aug 2018, 05:28
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