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# What is the value of z in the triangle above?

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What is the value of z in the triangle above? [#permalink]

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08 Oct 2012, 02:47
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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Triangle.png [ 7.76 KiB | Viewed 10675 times ]
What is the value of z in the triangle above?

(1) x+y=139
(2) y +z= 108

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Re: What is the value of z in the triangle above? [#permalink]

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08 Oct 2012, 02:48
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SOLUTION

What is the value of z in the triangle above?

The interior angles of a triangle always add up to 180°. Thus x+y+z=180°.

(1) x+y=139 --> 139+z=180 --> z=41. Sufficient.

(2) y +z= 108. Cannot determine the value of z. Not sufficient.

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Re: What is the value of z in the triangle above? [#permalink]

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08 Oct 2012, 02:51
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St 1: Sufficient: x+y=139, therefore Z= 180-139
St 2: Insufficient: y+z=108, the value of x can be found, but we can not get a definite value of z.

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Re: What is the value of z in the triangle above? [#permalink]

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08 Oct 2012, 03:18
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z = ?
1) z = 180 - (x+y) = 180 - 139 -->Sufficient
2) y+z = 108 --->z can take different values --->Not Sufficient

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Re: What is the value of z in the triangle above? [#permalink]

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08 Oct 2012, 04:58
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Total measure of the sum of a triangle's interior = 180.

1) x + y + z = 180
139 + z = 180
z = 41 Sufficient

2)x + y + z = 180
x + 108 = 180
x = 72, but we are not sure of the split between y and z, so this is Insufficient

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Re: What is the value of z in the triangle above? [#permalink]

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11 Oct 2012, 13:49
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SOLUTION

What is the value of z in the triangle above?

The interior angles of a triangle always add up to 180°. Thus x+y+z=180°.

(1) x+y=139 --> 139+z=180 --> z=41. Sufficient.

(2) y +z= 108. Cannot determine the value of z. Not sufficient.

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Re: What is the value of z in the triangle above? [#permalink]

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20 Jan 2015, 05:41
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Re: What is the value of z in the triangle above? [#permalink]

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11 Sep 2015, 00:53
Z===180-(X+y)
for finding Z we need Sum of X and Y

statement 1: X+Y == given , sufficient
Statement 2; Y+Z ==given , can not find X+y , insufficient

Hence A
Re: What is the value of z in the triangle above?   [#permalink] 11 Sep 2015, 00:53
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