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Math Expert
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In the figure above, if x = 40, then y - z = [#permalink]
Bunuel wrote:

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

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


Attachment:
GFPS2130.jpg

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

IMO D­
GMAT Club Legend
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GMAT 1: 690 Q50 V34
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In the figure above, if x = 40, then y - z = [#permalink]
Bunuel wrote:

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

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


Attachment:
GFPS2130.jpg

Bunuel Even if x=40 is not provided, y-z = 90­
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Re: In the figure above, if x = 40, then y - z = [#permalink]
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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Re: In the figure above, if x = 40, then y - z = [#permalink]
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
GMAT Club Bot
Re: In the figure above, if x = 40, then y - z = [#permalink]
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Math Expert
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