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.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
16 Mar 2022, 07:15
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
62% (01:58) correct
38%
(01:52)
wrong
based on 34
sessions
History
Date
Time
Result
Not Attempted Yet
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
Are You Up For the Challenge: 700 Level Questions
A. x < 90
B. x > 90
C. 90 < x < 180
D. x < 180
E. x > 180
Are You Up For the Challenge: 700 Level Questions
16 Mar 2022, 23:25
Kudos
Bookmarks
Ans will be B
since in the below diagram c is the point of intersection. If ∠ACD > 90 which means ∠BCD is less than 90 because the angle of a straight line is 180 degrees. for eg. if ∠ACD is 110 degrees then ∠BCD is max 70 degrees.
since in the below diagram c is the point of intersection. If ∠ACD > 90 which means ∠BCD is less than 90 because the angle of a straight line is 180 degrees. for eg. if ∠ACD is 110 degrees then ∠BCD is max 70 degrees.
17 Mar 2022, 00:02
Kudos
Bookmarks
∠ACD = ∠ECB (Opposite angles)
∠ACE = ∠BCD (Opposite angles)
Total angle around a point = 360
Let ∠ACD = ∠ECB = a
∠ACE + ∠BCD = x
2a+x = 360
We can test the minimum and maximum values for a to get the range
Minimum a = 91
2*91 + x = 360
x = 360-182 = 178
Maximum a = 179
2*179+x = 360
358+x = 360
x = 360-358 = 2
X<180
Answer D
∠ACE = ∠BCD (Opposite angles)
Total angle around a point = 360
Let ∠ACD = ∠ECB = a
∠ACE + ∠BCD = x
2a+x = 360
We can test the minimum and maximum values for a to get the range
Minimum a = 91
2*91 + x = 360
x = 360-182 = 178
Maximum a = 179
2*179+x = 360
358+x = 360
x = 360-358 = 2
X<180
Answer D
Attachments
angles.png [ 10.42 KiB | Viewed 1906 times ]
