Circle Gamma is the incircle of triangle ABC and is also the circumcircle of triangle XYZ. The point X is on line BC, the point Y is on

Circle Gamma is the incircle of triangle ABC and is also the circumcircle of triangle XYZ. The point X is on line BC, the point Y is on line AB, and the point Z is on line AC. If angle A=40 degrees, angle B=60 degrees, and angle C=80 degrees, what is the measure of angle YZX?

 

 

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Thanks!