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In the figure , AB is parallel to PQ. [m]\angle[/m] XYB = 40 and [m]\a

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KSBGC
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In the figure , AB is parallel to PQ. [m]\angle[/m] XYB = 40 and [m]\a [#permalink] New post   Updated on: 12 Oct 2019, 02:18
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In the figure , AB is parallel to PQ. \(\angle\) XYB = 40 and \(\angle\) XZQ = 35, what is the value of \(\angle\) YXZ ?

A)60
B)75
C)85
D)90
E)110
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B

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Originally posted by KSBGC on 12 Oct 2019, 01:12.
Last edited by KSBGC on 12 Oct 2019, 02:18, edited 1 time in total.
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Re: In the figure , AB is parallel to PQ. [m]\angle[/m] XYB = 40 and [m]\a [#permalink] New post   12 Oct 2019, 02:19
Apt0810 wrote:
Is Option B = 75°?

Posted from my mobile device


I have edited the question. Yes . The answer is 75.
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Re: In the figure , AB is parallel to PQ. [m]\angle[/m] XYB = 40 and [m]\a [#permalink] New post   14 Oct 2019, 20:52
chetan2u, kindly provide solution of this one.
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Re: In the figure , AB is parallel to PQ. [m]\angle[/m] XYB = 40 and [m]\a [#permalink] New post   14 Oct 2019, 21:11
KSBGC wrote:
In the figure , AB is parallel to PQ. \(\angle\) XYB = 40 and \(\angle\) XZQ = 35, what is the value of \(\angle\) YXZ ?

A)60
B)75
C)85
D)90
E)110


Draw a line a parallel to AB passing through X. Apply property that alternate interior angles are equal.
therefore, angle YXZ = 40 + 35 = 75

B is correct
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Re: In the figure , AB is parallel to PQ. [m]\angle[/m] XYB = 40 and [m]\a [#permalink] New post   14 Oct 2019, 22:06
Expert Reply
KSBGC wrote:
In the figure , AB is parallel to PQ. \(\angle\) XYB = 40 and \(\angle\) XZQ = 35, what is the value of \(\angle\) YXZ ?

A)60
B)75
C)85
D)90
E)110


Draw a line parallel to the two parallel lines passing through x.
Now alternate angles are equal
So BYX=40=YXE
XZQ=35=ZXE

XYZ=YXE+ZXE=40+35=75

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Re: In the figure , AB is parallel to PQ. [m]\angle[/m] XYB = 40 and [m]\a [#permalink]
14 Oct 2019, 22:06
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