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In the diagram below, \(O\) is the center of the circle, and \(\overline{UV}\) is a diameter. Find \(\angle XYZ\), in degrees.

 Jan 24, 2021
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In triangle UYV , angle  YUV  = (1/2) 80  =  40°

And anlge  YVU =  (1/2) 35  =17.5°

 

So angle UYV   = 180   - 40  -17.5    = 122.5°

 

And angle XYZ  is a  vertical angle to  UYV so it also measures 122.5°

 

cool cool cool

 Jan 24, 2021

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