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A and B are the endpoints of a line segment. Segment AB is c

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A and B are the endpoints of a line segment. Segment AB is c [#permalink] New post   07 May 2020, 06:10
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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

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Re: A and B are the endpoints of a line segment. Segment AB is c [#permalink] New post   09 May 2020, 18:14
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∠ACD + ∠DCB + ∠BCE + ∠ECA = 360
(∠ACD + ∠BCE) + (∠DCB + ∠ECA) = 360
(>180) + x = 360 ; (∠ACD = ∠BCE, and ∠ACD > 90˚)
x = 360 - (>180)
x < 180
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Re: A and B are the endpoints of a line segment. Segment AB is c [#permalink] New post   29 Jul 2023, 07:41
Hello from the GRE Prep Club BumpBot!

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Re: A and B are the endpoints of a line segment. Segment AB is c [#permalink]
29 Jul 2023, 07:41
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