Question 3
Acute triangle $A_1B_1C_1$ is inscribed in a circle. Points $A_2,B_2,C_2$ are the midpoints of the minor arcs $B_1C_1,A_1C_1,A_1B_1$, respectively. Points $A_3,B_3,C_3$ are the midpoints of the minor arcs $B_2C_2,A_2C_2,A_2B_2$, respectively. If $\angle A_3B_3C_3=\angle A_1B_1C_1$, find $\angle A_1B_1C_1$ in degrees.
