May 24 10:00 PM PDT  11:00 PM PDT Join a FREE 1day workshop and learn how to ace the GMAT while keeping your fulltime job. Limited for the first 99 registrants. May 25 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. May 27 01:00 AM PDT  11:59 PM PDT All GMAT Club Tests are free and open on May 27th for Memorial Day! May 27 10:00 PM PDT  11:00 PM PDT Special savings are here for Magoosh GMAT Prep! Even better  save 20% on the plan of your choice, now through midnight on Tuesday, 5/27 May 30 10:00 PM PDT  11:00 PM PDT Application deadlines are just around the corner, so now’s the time to start studying for the GMAT! Start today and save 25% on your GMAT prep. Valid until May 30th.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55267

In the figure, what is the value of x?
[#permalink]
Show Tags
21 Jun 2017, 01:08
Question Stats:
93% (00:22) correct 7% (00:16) wrong based on 128 sessions
HideShow timer Statistics
In the figure, what is the value of x? (A) 20˚ (B) 30˚ (C) 40˚ (D) 50˚ (E) 60˚ Attachment:
20170621_1205.png [ 10.24 KiB  Viewed 5051 times ]
Official Answer and Stats are available only to registered users. Register/ Login.
_________________



Current Student
Joined: 06 Nov 2016
Posts: 103
Location: India
GPA: 2.8

Re: In the figure, what is the value of x?
[#permalink]
Show Tags
21 Jun 2017, 01:19
sum of all angles in a triangle is 180
hence x = 180  (50+40+40)
answer is 50



Senior Manager
Joined: 28 May 2017
Posts: 283
Concentration: Finance, General Management

Re: In the figure, what is the value of x?
[#permalink]
Show Tags
21 Jun 2017, 01:35
Bunuel wrote: In the figure, what is the value of x? (A) 20˚ (B) 30˚ (C) 40˚ (D) 50˚ (E) 60˚ Attachment: 20170621_1205.png Angle ABC = 40 + 40 = 80 Since the sum of angles in a triangle equals = 180, Angle ACB = 180  80  50 = 50 Hence Answer D
_________________
If you like the post, show appreciation by pressing Kudos button



Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3386
Location: India
GPA: 3.12

Re: In the figure, what is the value of x?
[#permalink]
Show Tags
21 Jun 2017, 01:39
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: 74
Location: Australia

Re: In the figure, what is the value of x?
[#permalink]
Show Tags
21 Jun 2017, 04:13
ADB = 180(50+40) = 90 BDC= 180ADB = 18090 = 90 x = 180(90+40) = 50 Ans D



Senior Manager
Joined: 06 Jul 2016
Posts: 363
Location: Singapore
Concentration: Strategy, Finance

D.
In Triangle CDB Angle D = 90 and Angle B =40 X = 180  130 = 50
Posted from my mobile device



Director
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 724
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, 03:04
Bunuel wrote: In the figure, what is the value of x? (A) 20˚ (B) 30˚ (C) 40˚ (D) 50˚ (E) 60˚ Attachment: 20170621_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 Answer D
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler 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
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823

Re: In the figure, what is the value of x?
[#permalink]
Show Tags
24 Jun 2017, 08:37
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. Answer: D
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews
If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



VP
Status: Learning
Joined: 20 Dec 2015
Posts: 1010
Location: India
Concentration: Operations, Marketing
GPA: 3.4
WE: Engineering (Manufacturing)

Re: In the figure, what is the value of x?
[#permalink]
Show Tags
24 Jun 2017, 09:34
50+40+40+x=180 so x=50 hence D
_________________
Please give kudos if you found my answers useful



Senior SC Moderator
Joined: 22 May 2016
Posts: 2756

In the figure, what is the value of x?
[#permalink]
Show Tags
25 Jun 2017, 08:19
Bunuel wrote: In the figure, what is the value of x? (A) 20˚ (B) 30˚ (C) 40˚ (D) 50˚ (E) 60˚ Attachment: 20170621_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
_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.



Intern
Joined: 16 Feb 2017
Posts: 4

Re: In the figure, what is the value of x?
[#permalink]
Show Tags
27 Jun 2017, 00:23
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: 750
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)

Re: In the figure, what is the value of x?
[#permalink]
Show Tags
27 Jun 2017, 00:38
Bunuel wrote: In the figure, what is the value of x? (A) 20˚ (B) 30˚ (C) 40˚ (D) 50˚ (E) 60˚ Attachment: 20170621_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: 4486
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: In the figure, what is the value of x?
[#permalink]
Show Tags
10 Sep 2018, 08:07
Bunuel wrote: In the figure, what is the value of x? (A) 20˚ (B) 30˚ (C) 40˚ (D) 50˚ (E) 60˚ Attachment: 20170621_1205.png Clean (D) \(180  ( 50 + 40 +40) = 50˚\)
_________________




Re: In the figure, what is the value of x?
[#permalink]
10 Sep 2018, 08:07






