Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
Dec 1511:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease.- Dec 17
09:00 AM PST
-10:00 AM PST
Join Manhattan Prep instructor Whitney Garner for a fun—and thorough—review of logic-based (non-math) problems, with a particular emphasis on Data Sufficiency and Two-Parts. - Dec 18
10:00 AM PST
-11:00 AM PST
Here is the essential guide to securing scholarships as an MBA student! In this video, we explore the various types of scholarships available, including need-based and merit-based options. - Dec 21
11:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment
14 Mar 2019, 01:53
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
72% (02:24) correct
28%
(02:19)
wrong
based on 136
sessions
History
Date
Time
Result
Not Attempted Yet
Triangles ABC and ADC are isosceles with AB = BC and AD = DC. Point D is inside triangle ABC, ∠ABC = 40°, and ∠ADC = 140°. What is the degree measure of ∠BAD?
(A) 20
(B) 30
(C) 40
(D) 50
(E) 60
(A) 20
(B) 30
(C) 40
(D) 50
(E) 60
globaldesi
Joined: 28 Jul 2016
Last visit: 30 Oct 2024
Posts: 1,185
Own Kudos:
Given Kudos: 67
Location: India
Concentration: Finance, Human Resources
Schools: ISB '18 (D)
GPA: 3.97
WE:Project Management (Finance: Investment Banking)
Products:
14 Mar 2019, 21:18
Kudos
Bookmarks
Figure drawn as per explained.
Now AB = BC hence angles corresponding will be equal hence \(\angle\) BAC= \(180^{\circ}\)-\(40^{\circ}\) =\(\frac{140^{\circ}}{2}\) = \(70^{\circ}\)
for triangle ADC \(180^{\circ}-40^{\circ}\) =\(\frac{40^{\circ}}{2}\)=\(20^{\circ}\)
thus angle ABD = \(70^{\circ}\)-\(20^{\circ}\) =\(50^{\circ}\)
Thus answer D
Now AB = BC hence angles corresponding will be equal hence \(\angle\) BAC= \(180^{\circ}\)-\(40^{\circ}\) =\(\frac{140^{\circ}}{2}\) = \(70^{\circ}\)
for triangle ADC \(180^{\circ}-40^{\circ}\) =\(\frac{40^{\circ}}{2}\)=\(20^{\circ}\)
thus angle ABD = \(70^{\circ}\)-\(20^{\circ}\) =\(50^{\circ}\)
Thus answer D
Attachments
File comment: Figure as explained
figureexp.png [ 8.13 KiB | Viewed 6326 times ]
General Discussion
Updated on: 14 Mar 2019, 05:30
Originally posted by Archit3110 on 14 Mar 2019, 05:06.
Last edited by Archit3110 on 14 Mar 2019, 05:30, edited 1 time in total.
Last edited by Archit3110 on 14 Mar 2019, 05:30, edited 1 time in total.
Kudos
Bookmarks
Bunuel
Triangles ABC and ADC are isosceles with AB = BC and AD = DC. Point D is inside 4ABC, ∠ABC = 40°, and ∠ADC = 140°. What is the degree measure of ∠BAD?
(A) 20
(B) 30
(C) 40
(D) 50
(E) 60
(A) 20
(B) 30
(C) 40
(D) 50
(E) 60
Bunuel
draw figure as per given description
IMO angle BAD = 50
IMO D
