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In the figure, $\angle{XYZ}$ is inscribed in circle $I$, $\angle{XYZ}=36^\circ$, $\angle{AZY}=44^\circ$, and $AB$ is tangent to circle $I$ at $Z$.  What is the measure of $\angle YIZ$, in degrees?

 

 Jan 2, 2024
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avatar+129449 
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Draw IZ  and YI

 

Angle AZY = 44°

 

So   minor arc YZ = 2 * angle AZY = 2 (44)  =   88°

 

And central angle YIZ intercepts this arc....so  its measure = 88°

 

cool cool cool

 Jan 3, 2024

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