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In the figure above, if x = 40, then y - z =

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Bunuel
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In the figure above, if x = 40, then y - z = [#permalink] New post   22 Aug 2019, 01:22
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In the figure above, if x = 40, then y - z =

A. 60
B. 70
C. 80
D. 90
E. 100


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Mohammadmo
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Re: In the figure above, if x = 40, then y - z = [#permalink] New post   22 Aug 2019, 01:43
Z=180-(90+40)=50
Y=140
So,140-50=90
Option D

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In the figure above, if x = 40, then y - z = [#permalink] New post   Updated on: 22 Aug 2019, 19:53
Y=180-40
Y=140
Z=90-40
Z=50

Y-Z=90
D

Originally posted by joohwangie on 22 Aug 2019, 10:13.
Last edited by joohwangie on 22 Aug 2019, 19:53, edited 1 time in total.
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Re: In the figure above, if x = 40, then y - z = [#permalink] New post   22 Aug 2019, 10:21
Bunuel wrote:

In the figure above, if x = 40, then y - z =

A. 60
B. 70
C. 80
D. 90
E. 100


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Asked: In the figure above, if x = 40, then y - z = ?
y = 180 -x
z = 90 - x
y - z = (180-x) -(90-x) = 90

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Kinshook
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Re: In the figure above, if x = 40, then y - z = [#permalink] New post   22 Aug 2019, 10:23
Bunuel wrote:

In the figure above, if x = 40, then y - z =

A. 60
B. 70
C. 80
D. 90
E. 100


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Bunuel Even if x=40 is not provided, y-z = 90
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AcetheGMAT2019
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Re: In the figure above, if x = 40, then y - z = [#permalink] New post   22 Aug 2019, 11:10
if you see y is the exterior angle.

The exterior angle of a triangle is the sum of the opposite interior angles
so y=90+z
therefore, y-z=90

You don't need the value of x = 40 for anything.
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AndrewVass
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Re: In the figure above, if x = 40, then y - z = [#permalink] New post   06 Sep 2019, 03:46
Hi one stupid question my apologies, isnt all interior angles of a quadrilateral = 360?

I took 360 - (180 + 40 ) = 150 and therefore opposite angle Y to be 150 too

Therefore 150 - Z(which is 50) = 100

Can i check where did I go wrong?

Thank you
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Re: In the figure above, if x = 40, then y - z = [#permalink]
06 Sep 2019, 03:46
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