2015 AIME I Problem 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 A B D exceeds \angle A H G by 12^{\circ}. Find the degree measure of \angle B A G.

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