A and B are the endpoints of a line segment. Segment AB is crossed through point C

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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?

  1. x < 90
  2. x > 90
  3. 90 < x < 180
  4. x < 180
  5. x > 180
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