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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 \(\overline{BC}\), the 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 \(\angle YZX\)?

 

Note that it's YZX, not AYX

 May 27, 2020
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Triangles CXZ and AYX are isosceles triangles;

 

Angle CZX = angle CXZ  =  55°                angle AZY = angle AYZ  = 70°    indecision

 

 May 27, 2020

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