It is currently 17 Oct 2017, 15:45

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the figure above, if angle ABC = 110 degrees, and angle AED = 100 d

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Intern
Intern
User avatar
Status: UF BSBA '15 - Preparing for the future
Joined: 09 May 2011
Posts: 25

Kudos [?]: 5 [0], given: 2

Location: United States
GPA: 3.87
WE: Human Resources (Consulting)
In the figure above, if angle ABC = 110 degrees, and angle AED = 100 d [#permalink]

Show Tags

New post 23 Jun 2011, 14:31
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

67% (00:23) correct 33% (01:08) wrong based on 6 sessions

HideShow timer Statistics

Image
In the figure above, if angle ABC = 110 degrees, and angle AED = 100 degrees, then angle ADE is how many degrees smaller than angle BCD?

(1) Angle DAB = 45 degrees

(2) Angle ADC + angle BCD = 205 degrees


[Reveal] Spoiler:
Hello. I am doing the PR1012, and I came across this question. I got it wrong to begin with, but I also do not understand their brief explanation. Please help me. Just for the record I am in the college class of 2015, but I need to take the GMAT before the end of my sophomore year for a combined degree program (shooting for 700; I know it is really hard!). Eventually I may want an MBA, though. I am studying now to ease into it. I am pretty smart for the most part, but I do badly on tests. I got a 1380 SAT (670M, 710CR) with a little studying. Anyway, here is the question.

After one day of studying I already hate the data questions.

Image

In the figure above, if angle ABC = 110 degrees, and angle AED = 100 degrees, then angle ADE is how many degrees smaller than angle BCD?

1. Angle DAB = 45 degrees

2. Angle ADC + angle BCD = 205 degrees


OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/this-ds-i-ju ... 99063.html
[Reveal] Spoiler: OA

Last edited by jw on 23 Jun 2011, 20:27, edited 1 time in total.

Kudos [?]: 5 [0], given: 2

Senior Manager
Senior Manager
avatar
Joined: 24 Mar 2011
Posts: 440

Kudos [?]: 215 [0], given: 20

Location: Texas
Re: In the figure above, if angle ABC = 110 degrees, and angle AED = 100 d [#permalink]

Show Tags

New post 23 Jun 2011, 15:10
st-2 is fairly simple to get BCD - ADE, so st is sufficient.

as per st -1, BCD = 360-110-100-45-DAE
BCD = 105-DAE

for triangle ADE, DAE = 180-100-ADE
DAE = 80-ADE

combining both eqns, BCD = 105-80+ADE
==> BCD - ADE = 25
sufficient.

Kudos [?]: 215 [0], given: 20

Intern
Intern
User avatar
Status: UF BSBA '15 - Preparing for the future
Joined: 09 May 2011
Posts: 25

Kudos [?]: 5 [0], given: 2

Location: United States
GPA: 3.87
WE: Human Resources (Consulting)
Re: In the figure above, if angle ABC = 110 degrees, and angle AED = 100 d [#permalink]

Show Tags

New post 23 Jun 2011, 22:47
My apologies for mis-posting.

Please move this to the data sufficiency forum.

Kudos [?]: 5 [0], given: 2

Intern
Intern
avatar
Joined: 08 Mar 2011
Posts: 12

Kudos [?]: 2 [0], given: 13

Re: In the figure above, if angle ABC = 110 degrees, and angle AED = 100 d [#permalink]

Show Tags

New post 24 Jun 2011, 13:28
St 2 is very simple, as discussed in the above post. But I solved the first stmt like below, I hope it'll help you!
Let <BCD = y; <ADE = x; therefore <CDA = 180 - x (since, <CDA and <ADE are supplimentary)

Now sum of angles of quadrilateral ABCD is 360;
<DAB + <ABC + <BCD + <CDA = 360 => 45 + 110 + Y + 180 - X = 360

You can get the difference b/t y and X which is the answer for the question. Therefore the answer is D

Kudos [?]: 2 [0], given: 13

Intern
Intern
User avatar
Status: UF BSBA '15 - Preparing for the future
Joined: 09 May 2011
Posts: 25

Kudos [?]: 5 [0], given: 2

Location: United States
GPA: 3.87
WE: Human Resources (Consulting)
Re: In the figure above, if angle ABC = 110 degrees, and angle AED = 100 d [#permalink]

Show Tags

New post 24 Jun 2011, 14:39
I still do not see how statement two is so simple.

Kudos [?]: 5 [0], given: 2

Math Forum Moderator
avatar
Joined: 20 Dec 2010
Posts: 1964

Kudos [?]: 2050 [0], given: 376

Re: In the figure above, if angle ABC = 110 degrees, and angle AED = 100 d [#permalink]

Show Tags

New post 24 Jun 2011, 14:50
jw wrote:
I still do not see how statement two is so simple.


Sum of angles in a straight line is 180.
ADE+ADC=180
ADC=180-ADE ------------1

2.
ADC + BCD = 205
Substitute ADC from 1
180-ADE+BCD=205
BCD-ADE=205-180=25

BCD-ADE is nothing but the difference asked in the question stem.
Sufficient.
_________________

~fluke

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 2050 [0], given: 376

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128601 [0], given: 12180

Re: In the figure above, if angle ABC = 110 degrees, and angle AED = 100 d [#permalink]

Show Tags

New post 14 Aug 2017, 03:18
jw wrote:
Image
In the figure above, if angle ABC = 110 degrees, and angle AED = 100 degrees, then angle ADE is how many degrees smaller than angle BCD?

(1) Angle DAB = 45 degrees

(2) Angle ADC + angle BCD = 205 degrees


[Reveal] Spoiler:
Hello. I am doing the PR1012, and I came across this question. I got it wrong to begin with, but I also do not understand their brief explanation. Please help me. Just for the record I am in the college class of 2015, but I need to take the GMAT before the end of my sophomore year for a combined degree program (shooting for 700; I know it is really hard!). Eventually I may want an MBA, though. I am studying now to ease into it. I am pretty smart for the most part, but I do badly on tests. I got a 1380 SAT (670M, 710CR) with a little studying. Anyway, here is the question.

After one day of studying I already hate the data questions.

Image

In the figure above, if angle ABC = 110 degrees, and angle AED = 100 degrees, then angle ADE is how many degrees smaller than angle BCD?

1. Angle DAB = 45 degrees

2. Angle ADC + angle BCD = 205 degrees




Important property of polygons: Sum of Interior Angles of a polygon is \(180(n-2)\) where \(n\) is the number of sides.

So for quadrilateral sum of the angles equals to \(180(4-2)=360\) degrees.

Image
Given: \(\angle{ABC}=110\) and \(\angle{AED}=100\). Question: \(\angle{BCD}-\angle{ADE}=?\).
Attachment:
DS.jpg
Now as \(\angle{ABC}=110\) and \(\angle{AED}=100\) and the sum of all angles is 360 degrees then the sum of other two angles in quadrilateral must be \(\angle{BCD}+\angle{BAE}=360-(110+100)=150\).

(1) \(\angle{DAB}=45\) --> \(\angle{BAE}=\angle{DAB}+\angle{DAE}=45+\angle{DAE}\), but \(\angle{DAE}=180-100-\angle{ADE}=80-\angle{ADE}\) (the sum of interior angles in triangle ADE equals to 180 degrees) --> \(\angle{BAE}=45+80-\angle{ADE}=125-\angle{ADE}\). So \(\angle{BCD}+\angle{BAE}=150\) becomes \(\angle{BCD}+125-\angle{ADE}=150\) --> \(\angle{BCD}-\angle{ADE}=25\). Sufficient.

(2) \(\angle{BCD}+\angle{ADC}=205\) --> \(\angle{ADC}=180-\angle{ADE}\) (straight line) --> \(\angle{BCD}+180-\angle{ADE}=205\) --> \(\angle{BCD}-\angle{ADE}=25\). Sufficient.

Answer: D.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/this-ds-i-ju ... 99063.html
_________________

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.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128601 [0], given: 12180

Re: In the figure above, if angle ABC = 110 degrees, and angle AED = 100 d   [#permalink] 14 Aug 2017, 03:18
Display posts from previous: Sort by

In the figure above, if angle ABC = 110 degrees, and angle AED = 100 d

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.