Circle Gamma is the incircle ABC of and is also the circumcircle of XYZ. The point X is on BC, point Y is on AB, and the point is Z on AC. If angle A = 40, angle B = 80, and angle C = 60, what is the measure of angle AYX?
Angle BYX = 1/2(180 - 80) = 50º
Angle AYX = 180 - 50 = 130º