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

 It is currently 15 Nov 2018, 04:51

# Join Chat Room for Live Updates

### 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

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
• ### Free GMAT Strategy Webinar

November 17, 2018

November 17, 2018

07:00 AM PST

09:00 AM PST

Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
• ### GMATbuster's Weekly GMAT Quant Quiz # 9

November 17, 2018

November 17, 2018

09:00 AM PST

11:00 AM PST

Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

# In the figure, what is the value of x?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50608
In the figure, what is the value of x?  [#permalink]

### Show Tags

21 Jun 2017, 00:08
00:00

Difficulty:

5% (low)

Question Stats:

93% (00:22) correct 7% (00:17) wrong based on 121 sessions

### HideShow timer Statistics

In the figure, what is the value of x?

(A) 20˚
(B) 30˚
(C) 40˚
(D) 50˚
(E) 60˚

Attachment:

2017-06-21_1205.png [ 10.24 KiB | Viewed 4516 times ]

_________________
Manager
Joined: 06 Nov 2016
Posts: 103
Location: India
GMAT 1: 710 Q50 V36
GPA: 2.8
Re: In the figure, what is the value of x?  [#permalink]

### Show Tags

21 Jun 2017, 00:19
1
sum of all angles in a triangle is 180

hence x = 180 - (50+40+40)

Senior Manager
Joined: 28 May 2017
Posts: 287
Concentration: Finance, General Management
Re: In the figure, what is the value of x?  [#permalink]

### Show Tags

21 Jun 2017, 00:35
Bunuel wrote:

In the figure, what is the value of x?

(A) 20˚
(B) 30˚
(C) 40˚
(D) 50˚
(E) 60˚
Attachment:
2017-06-21_1205.png

Angle ABC = 40 + 40 = 80
Since the sum of angles in a triangle equals = 180,
Angle ACB = 180 - 80 - 50 = 50

_________________

If you like the post, show appreciation by pressing Kudos button

Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3305
Location: India
GPA: 3.12
Re: In the figure, what is the value of x?  [#permalink]

### Show Tags

21 Jun 2017, 00:39
Angle D(angle on a straight line) = 180˚

Consider Triangle ADB(the sum of the angles is 180˚)
Given Angle A = 50˚, Angle B = 40˚
Angles A + B + ADB = 180˚

Therefore Angle ADB = 180˚- (40˚+50˚) = 90˚

Now, Angle BDC = 180˚ - ADB = 90˚

Consider Triangle BDC(the sum of angles is 180˚)
Angles BDC + DBC + DCB = 180˚
Angle x = 180˚ - (90˚ + 40˚) = 50˚(Option D)
_________________

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

Manager
Joined: 03 Feb 2017
Posts: 75
Location: Australia
GMAT 1: 720 Q48 V40
Re: In the figure, what is the value of x?  [#permalink]

### Show Tags

21 Jun 2017, 03:13
BDC= 180-ADB = 180-90 = 90
x = 180-(90+40) = 50
Ans D
Senior Manager
Joined: 06 Jul 2016
Posts: 372
Location: Singapore
Concentration: Strategy, Finance

### Show Tags

21 Jun 2017, 09:24
D.

In Triangle CDB
Angle D = 90 and Angle B =40
X = 180 - 130 = 50

Posted from my mobile device
Director
Joined: 13 Mar 2017
Posts: 630
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: In the figure, what is the value of x?  [#permalink]

### Show Tags

22 Jun 2017, 02:04
Bunuel wrote:

In the figure, what is the value of x?

(A) 20˚
(B) 30˚
(C) 40˚
(D) 50˚
(E) 60˚

Attachment:
2017-06-21_1205.png

In a triangle Exterior angle = Sum of opposite interior angles
-> /_BDC = /_DBA + /_BAD
-> /_BDC = 40 + 50 = 90

In triangle BDC ,
/_BDC + /_DCB + /_CBD = 180
-> 90 + x + 40 = 180
-> x = 50

_________________

CAT 2017 99th percentiler : VA 97.27 | DI-LR 96.84 | QA 98.04 | OA 98.95
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: In the figure, what is the value of x?  [#permalink]

### Show Tags

24 Jun 2017, 07:37
1
Bunuel wrote:

In the figure, what is the value of x?

(A) 20˚
(B) 30˚
(C) 40˚
(D) 50˚
(E) 60˚

The sum of all angles in any triangle is 180 degrees. Looking at our diagram, we see that angle ADB in triangle ADB must be 180 - 90 = 90 degrees.

The measure of a straight angle, such as AC, is 180 degrees. Since angle ADB is 90 degrees, we see that angle BDC must also equal 90 degrees.

Since x is the measure of angle C in triangle BDC with angle BDC = 90 degrees and angle DBC = 40 degrees, angle DCB = x = 180 - (40 + 90) = 50 degrees.

Alternate Solution:

Looking at the greater triangle ABC, we see that two of the interior angles are 50 and 40 + 40 = 80. Thus, the third interior angle, x, will be 180 - 50 - 80 = 50.

_________________

Jeffery Miller

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

VP
Status: Learning
Joined: 20 Dec 2015
Posts: 1089
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
GPA: 3.4
WE: Engineering (Manufacturing)
Re: In the figure, what is the value of x?  [#permalink]

### Show Tags

24 Jun 2017, 08:34
50+40+40+x=180
so x=50
hence D
_________________

Senior SC Moderator
Joined: 22 May 2016
Posts: 2094
In the figure, what is the value of x?  [#permalink]

### Show Tags

25 Jun 2017, 07:19
Bunuel wrote:

In the figure, what is the value of x?

(A) 20˚
(B) 30˚
(C) 40˚
(D) 50˚
(E) 60˚
Attachment:
2017-06-21_1205.png

Solving with the larger triangle ABC is probably faster.

You could also use ASA: for two triangles, if any two angles and their included side are equal, the triangles are congruent.

Triangles here share side BD, and ∠ABD = ∠CBD = 40°.

They also have equal angles of 90°: ∠ADB (derived from what must be third angle of triangle ABD) and ∠BDC (because it lies, with ∠ADB, on straight line of 180°).

Side BD is "included" between the 40° and 90° angles in both triangles. ∠A = 50. ∠C (x) must also = 50. Answer D
Intern
Joined: 16 Feb 2017
Posts: 4
Re: In the figure, what is the value of x?  [#permalink]

### Show Tags

26 Jun 2017, 23:23
50 + 40 + 40 + x = 180
x = 50
Ans D

Sent from my Redmi Note 3 using GMAT Club Forum mobile app
Director
Joined: 04 Dec 2015
Posts: 715
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
Re: In the figure, what is the value of x?  [#permalink]

### Show Tags

26 Jun 2017, 23:38
Bunuel wrote:

In the figure, what is the value of x?

(A) 20˚
(B) 30˚
(C) 40˚
(D) 50˚
(E) 60˚

Attachment:
2017-06-21_1205.png

Sum of the Angles of $$\triangle ABC = 180˚$$

$$\angle ABC + \angle BCA + \angle CAB = 180˚$$

Given $$\angle CAB = 50˚$$

Given $$\angle ABC = 40˚ + 40˚ = 80˚$$

Given $$\angle BCA = x$$

$$80˚ + x + 50˚ = 180˚$$

$$130˚ + x = 180˚$$

$$x = 180˚ - 130˚ = 50˚$$ . Answer (D)...
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4209
Location: India
GPA: 3.5
Re: In the figure, what is the value of x?  [#permalink]

### Show Tags

10 Sep 2018, 07:07
Bunuel wrote:

In the figure, what is the value of x?

(A) 20˚
(B) 30˚
(C) 40˚
(D) 50˚
(E) 60˚

Attachment:
2017-06-21_1205.png

Clean (D) $$180 - ( 50 + 40 +40) = 50˚$$
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: In the figure, what is the value of x? &nbs [#permalink] 10 Sep 2018, 07:07
Display posts from previous: Sort by