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.
If AB=BD, then what is the value of x/y?
[#permalink]
05 Jan 2023, 00:05
05 Jan 2023, 00:05
Expert Reply
00:00
Question Stats:
100% (01:42) correct
0% (00:00) wrong based on 2 sessions
Hide Show timer Statistics
Attachment:
GRE If AB=BD, then what is the value of xy.jpg [ 22.99 KiB | Viewed 915 times ]
If AB=BD, then what is the value of x/y?
Show: ::
20/140
Re: If AB=BD, then what is the value of x/y?
[#permalink]
30 Jan 2023, 11:17
30 Jan 2023, 11:17
Expert Reply
OE
According to the problem, AB = BD. Therefore, triangle ABD is an isosceles triangle, and angle BAD is equal to x. Additionally, since you know angle AD E = 90 and angle DAE = 30, you can determine that angle AED = 180 - 90 - 30 = 60 (since these three angles form the triangle ADE). You can update the diagram as follows:
screenshot.1188.jpg [ 37.26 KiB | Viewed 888 times ]
The angles of the large triangle, ACE, must sum to 180. Therefore, 70 + 60 + 30 + x = 180, so x = 20. Since y, x, and x must sum to 180 (they form the angles of triangle ABD), y = 180 - 2x, so y = 140. Thus, the correct ratio is 20/140
According to the problem, AB = BD. Therefore, triangle ABD is an isosceles triangle, and angle BAD is equal to x. Additionally, since you know angle AD E = 90 and angle DAE = 30, you can determine that angle AED = 180 - 90 - 30 = 60 (since these three angles form the triangle ADE). You can update the diagram as follows:
Attachment:
screenshot.1188.jpg [ 37.26 KiB | Viewed 888 times ]
The angles of the large triangle, ACE, must sum to 180. Therefore, 70 + 60 + 30 + x = 180, so x = 20. Since y, x, and x must sum to 180 (they form the angles of triangle ABD), y = 180 - 2x, so y = 140. Thus, the correct ratio is 20/140
gmatclubot
Re: If AB=BD, then what is the value of x/y? [#permalink]
30 Jan 2023, 11:17
Moderators:
