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# Angles of circles problem.

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$$Circle \Gamma is the incircle of \triangle ABC and is also the circumcircle of \triangle XYZ. The point X is on \overline{BC}, point Y is on \overline{AB}, and the point Z is on \overline{AC}. If \angle A=40^\circ, \angle B=60^\circ, and \angle C=80^\circ, what is the measure of \angle AYX?$$

Circle L is the incircle of triangle ABC and is also the circumfrerence of of triangle XYZ. The point X is on line BC, point Y is on line AB, and point Z is on line AC. If angle A = 40 degrees, angle B = 60 degrees, and angle C is 80 degrees, what is the number of degrees of  angle AYX.

Jul 7, 2022

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Angle AYX = 135 degrees.

Jul 7, 2022
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It was 120, but thanks for trying to help

Jul 7, 2022
edited by Guest  Jul 7, 2022
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Here's the solution posted by Heureka  :

https://web2.0calc.com/questions/circle-is-the-incircle-of-triangle-abc-and-is-also_1

Jul 7, 2022