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1999 AMC 12 Question 27

AMC12 · 1999 AMC 12

Question 27

In triangle $ABC,$ $3\sin A + 4\cos B = 6$ and $4\sin B + 3\cos A = 1.$ Then $\angle C$ in degrees is
  1. $30$
  2. $60$
  3. $90$
  4. $120$
  5. $150$