Rose watches a circular ornament that has 6 equally spaced stones. Identify x.

The figure shows a circle with tangent O B and secant O C. The circle is divided into 6 equal parts. Points A, B, C lie on the circle. Point A lies on secant O C. Intercepted arc A B measures 1 part. Intercepted arc B C measures 3 parts. The angle between the secant and the tangent measures x degrees. The tangent and the secant intersect in the exterior of the circle.