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What is the value of z in the triangle above?

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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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What is the value of z in the triangle above?

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

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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.

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

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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.

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

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New post 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

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

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New post 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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Answer: A

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SOLUTION

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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.

Answer: A.

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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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

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New post 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

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

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New post 17 Jul 2017, 08:25
Sum of a triangle's interior angles= 180.

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

Hence, A is sufficient to find z.

2) y + z= 108
When we solve the equation we could only find x.

x + y + z = 180
x + 108 = 180
x = 72.

Using the info here we can't find the value of z since we don't know how y and z form 108. so this information is Insufficient

Hence, the answer is A. Only 1 is sufficient.

Hope that helps.


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Re: What is the value of z in the triangle above?   [#permalink] 17 Jul 2017, 08:25
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