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A Congruent Angle inside the Incircle
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 .



The statement of the theorem is in Problem 52. Triangle, Angles, Incircle.


"A Congruent Angle inside the Incircle" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/ACongruentAngleInsideTheIncircle/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez
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