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In the figure above

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In the figure above [#permalink] New post 24 Aug 2018, 15:18
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In the figure above, if x=100 and y=120, then z =

A. 10

B. 40

C. 50

D. 60

E. 70
[Reveal] Spoiler: OA
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Re: In the figure above [#permalink] New post 28 Aug 2018, 04:04
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Carcass wrote:
Attachment:
lines.jpg


In the figure above, if x=100 and y=120, then z =

A. 10

B. 40

C. 50

D. 60

E. 70



We can write as,

x + (y - z) = 180

or 100 + 120 - z = 180

or z = 40
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Re: In the figure above [#permalink] New post 29 Aug 2018, 11:41
pranab01 wrote:
Carcass wrote:
Attachment:
lines.jpg


In the figure above, if x=100 and y=120, then z =

A. 10

B. 40

C. 50

D. 60

E. 70


We can write as,

x + (y - z) = 180

or 100 + 120 - z = 180

or z = 40


The post above states that the answer is C, yet this states that the answer is B (40). Which is correct? Also, why did you go about solving it this way (subtracting z)? Thank you very much in advance for explaining the reasoning behind this for me :)
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Re: In the figure above [#permalink] New post 06 Sep 2018, 15:55
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First you calculate the angle marked in red which is \(y-z\)

And the you calculate the angle marked in violet \(x+y-z\). Since the angle in violet is a straight line you can write:

\(x+y-z=180\)

Substituting the values of x and y we can obtain the value of \(z=40.\)
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Re: In the figure above [#permalink] New post 06 Sep 2018, 16:17
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Another approach is to consider the entire full rotation angle which is 360°

Now of this 360 x is 100 so z = 260 and y is 120 so z = 40°.

Z must be 40°.

Hope this helps

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Re: In the figure above   [#permalink] 06 Sep 2018, 16:17
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