Problem 440: Triangle, Incircle, Incenter, Angle Bisector, Tangency Points, Circle, Angles
The figure shows a triangle ABC with
incenter I. The incircle is tangent to AB, BC, and AC at points
D, E, and F. The extension of line BI intersects EF at G. If the
measure of angle C is 44 degrees, find the measure of angle IAG.