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1961 AMC 12 Question 8

AMC12 · 1961 AMC 12

Question 8

Let the two base angles of a triangle be $A$ and $B,$ with $B$ larger than $A.$ The altitude to the base divides the vertex angle $C$ into two parts, $C_1$ and $C_2,$ with $C_2$ adjacent to side $a.$ Then:
  1. $C_1+C_2=A+B$
  2. $C_1-C_2=B-A$
  3. $C_1-C_2=A-B$
  4. $C_1+C_2=B-A$
  5. $C_1-C_2=A+B$