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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] New post 08 Oct 2012, 01:47
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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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Re: What is the value of z in the triangle above? [#permalink] New post 08 Oct 2012, 01:48
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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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Re: What is the value of z in the triangle above? [#permalink] New post 08 Oct 2012, 01:51
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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.

Hence Answer A
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Re: What is the value of z in the triangle above? [#permalink] New post 08 Oct 2012, 02:18
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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] New post 08 Oct 2012, 03:58
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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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Re: What is the value of z in the triangle above? [#permalink] New post 11 Oct 2012, 12:49
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SOLUTION

Image
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.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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] New post 20 Jan 2015, 04:41
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Re: What is the value of z in the triangle above?   [#permalink] 20 Jan 2015, 04:41
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