GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Nov 2018, 23:50

### 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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### How to QUICKLY Solve GMAT Questions - GMAT Club Chat

November 20, 2018

November 20, 2018

09:00 AM PST

10:00 AM PST

The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.
• ### The winning strategy for 700+ on the GMAT

November 20, 2018

November 20, 2018

06:00 PM EST

07:00 PM EST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

# In triangle DEF above, what is the value of a in terms of b?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50701
In triangle DEF above, what is the value of a in terms of b?  [#permalink]

### Show Tags

02 Sep 2018, 22:40
00:00

Difficulty:

5% (low)

Question Stats:

92% (00:45) correct 8% (00:30) wrong based on 38 sessions

### HideShow timer Statistics

In triangle DEF above, what is the value of a in terms of b?

A. 115 – b
B. 65 + b
C. 180 – b
D. 115 + b
E. b – 65

Attachment:

image004.jpg [ 3.75 KiB | Viewed 554 times ]

_________________
Director
Joined: 20 Feb 2015
Posts: 796
Concentration: Strategy, General Management
Re: In triangle DEF above, what is the value of a in terms of b?  [#permalink]

### Show Tags

03 Sep 2018, 01:20
Bunuel wrote:

In triangle DEF above, what is the value of a in terms of b?

A. 115 – b
B. 65 + b
C. 180 – b
D. 115 + b
E. b – 65

Attachment:
image004.jpg

exterior angle = sum of opposite interior angles
a= 65 + b
Math Expert
Joined: 02 Aug 2009
Posts: 7038
Re: In triangle DEF above, what is the value of a in terms of b?  [#permalink]

### Show Tags

03 Sep 2018, 01:23
Bunuel wrote:

In triangle DEF above, what is the value of a in terms of b?

A. 115 – b
B. 65 + b
C. 180 – b
D. 115 + b
E. b – 65

Attachment:
image004.jpg

a is external angle in the smaller triangle on the left side..
And is therefore equal to sum of two opposite internal angles...
So a=65+b

B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3307
Location: India
GPA: 3.12
Re: In triangle DEF above, what is the value of a in terms of b?  [#permalink]

### Show Tags

03 Sep 2018, 01:30

Let X be the point at which F makes contact with DE!
Since Angle FXE = a | Angle FXD = 180 - a (Angles in a straight line always have a sum of 180)

In Triangle DFX, the sum of angles is 180 -> $$b + 65 + 180 - a = 180$$ -> $$a = b + 65$$

Therefore, the value of a in terms of b is a = b + 65(Option B)
_________________

You've got what it takes, but it will take everything you've got

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4170
Location: United States (CA)
Re: In triangle DEF above, what is the value of a in terms of b?  [#permalink]

### Show Tags

11 Sep 2018, 16:14
Bunuel wrote:

In triangle DEF above, what is the value of a in terms of b?

A. 115 – b
B. 65 + b
C. 180 – b
D. 115 + b
E. b – 65

Attachment:
image004.jpg

Since an exterior angle of a triangle (in this case, angle a) is equal to the sum of the two remote interior angles (in this case, angle b and the angle measuring 65 degrees), we see that:

a = 65 + b

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: In triangle DEF above, what is the value of a in terms of b? &nbs [#permalink] 11 Sep 2018, 16:14
Display posts from previous: Sort by

# In triangle DEF above, what is the value of a in terms of b?

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

 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®.