GRE Prep 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.
In the figure shown, AC = 2 and BD = DC = 1. What is the mea
[#permalink]
02 Jun 2020, 01:52
02 Jun 2020, 01:52
Expert Reply
00:00
Question Stats:
95% (01:25) correct
4% (01:40) wrong based on 24 sessions
Hide Show timer Statistics
Attachment:
shot111.jpg [ 25.01 KiB | Viewed 2368 times ]
In the figure shown, AC = 2 and BD = DC = 1. What is the measure of angle ABD?
A. 15°
B. 20°
C. 30°
D. 40°
E. 45°
Re: In the figure shown, AC = 2 and BD = DC = 1. What is the mea
[#permalink]
02 Jun 2020, 01:57
02 Jun 2020, 01:57
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In the figure shown, AC = 2 and BD = DC = 1. What is the mea
[#permalink]
02 Jun 2020, 05:18
02 Jun 2020, 05:18
Carcass wrote:
Attachment:
shot111.jpg
In the figure shown, AC = 2 and BD = DC = 1. What is the measure of angle ABD?
A. 15°
B. 20°
C. 30°
D. 40°
E. 45°
If AC = 2 and DC = 1, then we can conclude that AD = 1
Add this information to the diagram...
If AD = 1 and BD = 1, then ∆ABD is an ISOSCELES triangle, which means ∠DAB = ∠ABD are EQUAL...
If we let x = BOTH ∠DAB and ∠ABD, then we can use the fact that angles in a triangle add to 180º
We can write: x + x + 120 = 180
Simplify: 2x + 120 = 180
Solve: x = 30
In other words, ∠ABD = 30º
Answer: C
RELATED VIDEOS
