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In the figure above, what is the value of (x + y + z)/45?

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In the figure above, what is the value of (x + y + z)/45? [#permalink]

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31 Aug 2017, 23:45
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In the figure above, what is the value of (x + y + z)/45?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

[Reveal] Spoiler:
Attachment:

2017-09-01_1134_001.png [ 4.58 KiB | Viewed 794 times ]
[Reveal] Spoiler: OA

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Re: In the figure above, what is the value of (x + y + z)/45? [#permalink]

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01 Sep 2017, 00:59

The sum of the angles in a triangle is 180 degree.

The expression $$\frac{(x + y + z)}{45} = 4$$(Option C)
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Re: In the figure above, what is the value of (x + y + z)/45? [#permalink]

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01 Sep 2017, 06:03
Bunuel wrote:

In the figure above, what is the value of (x + y + z)/45?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

[Reveal] Spoiler:
Attachment:
2017-09-01_1134_001.png

x + y + z = sum of the three angles of a triangle = 180

i.e. (x + y + z)/45 = 180 / 45 = 4

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Re: In the figure above, what is the value of (x + y + z)/45? [#permalink]

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07 Sep 2017, 06:12
Bunuel wrote:

In the figure above, what is the value of (x + y + z)/45?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

[Reveal] Spoiler:
Attachment:
2017-09-01_1134_001.png

The three angles of any triangle sum to 180 degrees. We see that the sum of x, y, and z is 180, so (x + y + z)/45 = 180/45 = 4.

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Re: In the figure above, what is the value of (x + y + z)/45? [#permalink]

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07 Sep 2017, 12:34
As the sum of triangle is 180.

So, x+y+z = 180

and (x+y+z)/45 = 180/45 = 4

Option C

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Re: In the figure above, what is the value of (x + y + z)/45?   [#permalink] 07 Sep 2017, 12:34
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In the figure above, what is the value of (x + y + z)/45?

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