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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 point $Z$ is on $\overline{AC}$. If $\angle A=40^\circ$, $\angle B=60^\circ$, $\angle C=80^\circ$, what is the measure of $\angle YZX$. 

 Apr 2, 2021
 #1
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Angle YZX = 65 degrees.

 Apr 2, 2021
 #2
avatar+184 
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Thank you, but it's not the right answer. 

 Apr 2, 2021
 #3
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Angle YZX = 180 - (70 + 50) = 60º

smiley

 Apr 2, 2021

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