A Congruent Angle inside the Incircle

∠ABC

≈

75.93°

∠DEF

≈

75.93°

Let ABC be a triangle and let O be the center of the incircle. Let E be the point of tangency of the incircle with AC. Let AO and CO intersect the line drawn through the other two points of tangency at F and D, respectively. Then

∠ABC=∠DEF

.