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1956 AMC 12 Question 50

AMC12 · 1956 AMC 12

Question 50

In triangle $ABC,$ $CA=CB.$ On $CB$ square $BCDE$ is constructed away from the triangle. If $x$ is the number of degrees in angle $DAB,$ then
  1. $x$ depends upon triangle $ABC$
  2. $x$ is independent of the triangle
  3. $x$ may equal angle $CAD$
  4. $x$ can never equal angle $CAB$
  5. $x$ is greater than $45^\circ$ but less than
    $90^\circ$