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.
A and B are the endpoints of a line segment. Segment AB is c
[#permalink]
07 May 2020, 06:10
07 May 2020, 06:10
Expert Reply
2
Bookmarks
00:00
Question Stats:
72% (01:08) correct
27% (01:09) wrong based on 36 sessions
Hide Show timer Statistics
A and B are the endpoints of a line segment. Segment AB is crossed through point C by another line segment with endpoints D and E. If ∠ACD > 90˚, and the sum of ∠ACE and ∠BCD is x˚, then which of the following must be true?
A. x < 90
B. x > 90
C. 90 < x < 180
D. x < 180
E. x > 180
Kudos for the right answer and explanation
A. x < 90
B. x > 90
C. 90 < x < 180
D. x < 180
E. x > 180
Kudos for the right answer and explanation
Re: A and B are the endpoints of a line segment. Segment AB is c
[#permalink]
09 May 2020, 18:14
09 May 2020, 18:14
2
∠ACD + ∠DCB + ∠BCE + ∠ECA = 360
(∠ACD + ∠BCE) + (∠DCB + ∠ECA) = 360
(>180) + x = 360 ; (∠ACD = ∠BCE, and ∠ACD > 90˚)
x = 360 - (>180)
x < 180
(∠ACD + ∠BCE) + (∠DCB + ∠ECA) = 360
(>180) + x = 360 ; (∠ACD = ∠BCE, and ∠ACD > 90˚)
x = 360 - (>180)
x < 180
Attachments
line segment.png [ 3.5 KiB | Viewed 2614 times ]
Re: A and B are the endpoints of a line segment. Segment AB is c
[#permalink]
29 Jul 2023, 07:41
29 Jul 2023, 07:41
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
