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In isosceles triangle ABC, the degree measure of angle ABC is 30°, wha

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In isosceles triangle ABC, the degree measure of angle ABC is 30°, wha  [#permalink]

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New post 23 May 2018, 05:47
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GMAT Club Tests' Fresh Question:



In isosceles triangle ABC, the degree measure of angle ABC is 40°. What is the difference between the maximum possible degree measure of the largest angle in the triangle ABC and the minimum possible degree measure of the largest angle in the triangle ABC?


A) 0°
B) 15°
C) 30°
D) 40°
E) 60°

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Re: In isosceles triangle ABC, the degree measure of angle ABC is 30°, wha  [#permalink]

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New post 23 May 2018, 07:39
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Bunuel wrote:

GMAT Club Tests' Fresh Question:



In isosceles triangle ABC, the degree measure of angle ABC is 40°. What is the difference between the maximum possible degree measure of the largest angle in the triangle ABC and the minimum possible degree measure of the largest angle in the triangle ABC?


A) 0°
B) 15°
C) 30°
D) 40°
E) 60°


40° can either be the base angle / the apex angle

If 40° is base angles then Apex angle is 100° , thus difference will be 60°
If 40° is Apex angle then Base angles are 70° , thus difference will be 30°

Thus, he minimum possible degree measure of the largest angle in the triangle ABC will be C) 30°
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Re: In isosceles triangle ABC, the degree measure of angle ABC is 30°, wha  [#permalink]

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New post 23 May 2018, 22:01

Solution



Given:
• In isosceles triangle ABD, the degree measure of angle ABC is 40°

To find:
• The difference between the maximum possible degree measure of the largest angle in the triangle ABC and the minimum possible degree measure of the largest angle in the triangle ABC

Approach and Working:
As there is no details provided about the angle ABC except the value, we can have 2 possible cases.

Case 1:
If angle ABC is one of the same angle in the base, then the 3 angles of triangle ABC are 40°, 40°, and 100°
    • Largest angle = 100°

Case 2:
If angle ABC is the vertex angle, then the 3 angles of triangle ABC are 40°, 70°, and 70°
    • Largest angle = 70°

Therefore the difference between the maximum largest angle and minimum largest angle = maximum possible largest angle – minimum possible largest angle = 100° - 70° = 30°

Hence, the correct answer is option C.

Answer: C
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Re: In isosceles triangle ABC, the degree measure of angle ABC is 30°, wha  [#permalink]

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New post 24 Dec 2018, 03:47
Bunuel wrote:

GMAT Club Tests' Fresh Question:



In isosceles triangle ABC, the degree measure of angle ABC is 40°. What is the difference between the maximum possible degree measure of the largest angle in the triangle ABC and the minimum possible degree measure of the largest angle in the triangle ABC?


A) 0°
B) 15°
C) 30°
D) 40°
E) 60°


Par of GMAT CLUB'S New Year's Quantitative Challenge Set


_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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: In isosceles triangle ABC, the degree measure of angle ABC is 30°, wha &nbs [#permalink] 24 Dec 2018, 03:47
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