Two friends are sharing one half of a pizza that is divided into three pieces, as shown in the figure.

Circle O has diameter A D and radii B O and C O. Angle A O B is adjacent to angle B O C. Angle B O C is adjacent to angle C O D.

If m∠AOB = (3x − 6)° and m∠BOD = (5x + 14)°, what is the value of x?

10.0
21.5
58.5
121.5