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1958 AMC 12 Question 29

AMC12 · 1958 AMC 12

Question 29

In a general triangle $ADE$ (as shown), lines $EB$ and $EC$ are drawn. Which of the following angle relations is true?

Question illustration
  1. $x+z=a+b$
  2. $y+z=a+b$
  3. $m+x=w+n$
  4. $x+z+n=w+c+m$
  5. $x+y+n=a+b+m$