Question 6
Points $A,$ $B,$ $C,$ $D,$ and $E$ are equally spaced on a minor arc of a circle. Points $E,$ $F,$ $G,$ $H,$ $I,$ and $A$ are equally spaced on a minor arc of a second circle with center $C$ as shown in the figure below. The angle $\angle ABD$ exceeds $\angle AHG$ by $12^\circ.$ Find the degree measure of $\angle BAG.$
