GRE Problem Solving Question 920

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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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