Point D is the incenter of triangle BCA. If m∠FHG = 61°, what is the measure of ∠FDG? Triangle BCA with inscribed circle D. Segments BF and BH, CF and CG, and AG and GH are tangent to circle D; segments FD, GD, FH, and GH are created from points F, G, D, and H. 30° 112° 61° 122°