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\(A\) and \(B\) are the endpoints of a line segment. Segment \(AB\) is crossed through point \(C\) by another line segme

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by VJesus12 » Thu Nov 19, 2020 7:55 am

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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 \(\angle ACD > 90,\) and the sum of \(\angle ACE\) and \(\angle BCD\) is \(x,\) then which of the following must be true?

A. \(x < 90\)
B. \(x > 90\)
C. \(90 < x < 180\)
D. \(x < 180\)
E. \(x > 180\)

Answer: D

Source: Princeton Review
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