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A and B are the endpoints of a line segment. Segment AB is c
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07 May 2020, 06:10
07 May 2020, 06:10
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Question Stats:
75% (01:20) correct
24% (01:17) wrong based on 45 sessions
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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
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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
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Re: A and B are the endpoints of a line segment. Segment AB is c
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29 Jul 2023, 07:41
29 Jul 2023, 07:41
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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).
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