AHSME 1969 Problem 8

Triangle $ABC$ is inscribed in a circle. The measure 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 is: $\text{(A) } 57\tfrac{1}{2}^{\circ} \text{(B) } 59^{\circ} \text{(C) } 60^{\circ} \text{(D) } 61^{\circ} \text{(E) } 122^{\circ}$