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1969 AMC 12 Question 8

AMC12 · 1969 AMC 12

Question 8

Triangle $ABC$ is inscribed in a circle. The measures of the non-overlapping minor arcs $AB,$ $BC,$ and $CA$ are, respectively, $x+75^\circ,$ $2x+25^\circ,$ $3x-22^\circ.$ Then one interior angle of the triangle, in degrees, is:
  1. $57\dfrac12$
  2. $59$
  3. $60$
  4. $61$
  5. $122$