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Lines AB and CD are parallel. What is x?

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Bunuel
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Lines AB and CD are parallel. What is x? [#permalink] New post   10 Feb 2021, 01:15
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Lines AB and CD are parallel. What is x?

A. 100°

B. 110°

C. 105°

D. 120°

E. 130°



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B
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rajatchopra1994
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Re: Lines AB and CD are parallel. What is x? [#permalink] New post   10 Feb 2021, 06:55
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Explanation:

Angle x = 180 - 40 - 30
Angle x = 110

IMO-B
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Re: Lines AB and CD are parallel. What is x? [#permalink] New post   10 Feb 2021, 08:11
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IMO B

Following alternate angle property, we get two angles are 30deg & 40deg
Therfore X = 180-30-40 =110 deg
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Lines AB and CD are parallel. What is x? [#permalink] New post   10 Feb 2021, 09:33
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Angle x = Angle opposite to it = 180- (180-140)-30 = 110

So, I think B. :)
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akadiyan
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Re: Lines AB and CD are parallel. What is x? [#permalink] New post   10 Feb 2021, 09:49
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We have one of the angle = 40 , so we have one angle opposite to 40 is 180-40 = 140

We also have another angle which is 30, so based on alternative angle , we have 3rd angle as 30.
x = 180-40-30 = 110

Ans B
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Re: Lines AB and CD are parallel. What is x? [#permalink] New post   11 Feb 2021, 01:18
Angle BCD = \(30°\) (Alternate angles property).

Angle next to \(140°\) =\( 40°\)( Supplementary angles)

Angle x= \(180°- (40°+30°)\)

Angle X= \(110°\).

The OA is B.
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Re: Lines AB and CD are parallel. What is x? [#permalink] New post   10 Mar 2022, 04:24
Hello from the GMAT Club BumpBot!

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Re: Lines AB and CD are parallel. What is x? [#permalink]
10 Mar 2022, 04:24
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