Last visit was: 29 Apr 2026, 09:00 It is currently 29 Apr 2026, 09:00
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
User avatar
lucajava
Joined: 21 Feb 2019
Last visit: 18 Jul 2019
Posts: 68
Own Kudos:
353
 [2]
Given Kudos: 66
Location: Italy
Posts: 68
Kudos: 353
 [2]
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
User avatar
PKN
Joined: 01 Oct 2017
Last visit: 11 Oct 2025
Posts: 809
Own Kudos:
Given Kudos: 41
Status:Learning stage
WE:Supply Chain Management (Energy)
Posts: 809
Kudos: 1,640
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 29 Apr 2026
Posts: 11,234
Own Kudos:
45,045
 [3]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,234
Kudos: 45,045
 [3]
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
jfranciscocuencag
Joined: 12 Sep 2017
Last visit: 17 Aug 2024
Posts: 227
Own Kudos:
144
 [1]
Given Kudos: 132
Posts: 227
Kudos: 144
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
PKN
lucajava
In the figure shown below, what is the value of angle \(α\)?

A. 70°
B. 75°
C. 80°
D. 90°
E. The given information is not sufficient to answer this question

Please refer the enclosed diagram,

1) Sides AB=BD=BC=CD
2) Angle AOD=Angle BOC=70°

Now, in the triangle AOD, we have
a) \(α\)+Angle OAD=70°
b) In the triangle ABD, 20°+ \(α\)+ Angle OAD + 50°=180° Or, \(α\)+ Angle OAD=110°
By solving (a) and (b) we have, \(α\)=80°

Ans. (C)

Hello PKN!!!

How do we know that is isosceles?

Kind regards!
User avatar
PKN
Joined: 01 Oct 2017
Last visit: 11 Oct 2025
Posts: 809
Own Kudos:
1,640
 [1]
Given Kudos: 41
Status:Learning stage
WE:Supply Chain Management (Energy)
Posts: 809
Kudos: 1,640
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi jfranciscocuencag,

Please refer the diagram attached with my original explanation:

1) In the triangle ABC, Angle BAC=180-(60+20)-50=50 degree=Angle BCA

Hence, AB=BC------------(1)

2) In the triangle DBC, Angle BDC=180-60-(50+10)=60 degree=Angle BCD

Hence, BC=BD------------(2)

Now, from(1) and (2) , we have AB=BD.

Hope it helps.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,991
Own Kudos:
Posts: 38,991
Kudos: 1,119
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
109972 posts
Tuck School Moderator
852 posts