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Help with geometry problem with picture

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Line PQ and PR are tangent to the circle.

 

https://latex.artofproblemsolving.com/c/c/1/cc16b62c53fd72035896c4f0760d814431cc0883.png

 

Angle QTA is fourty one, angle AUR is sixty three, find angle QPR

 Feb 8, 2020
edited by Guest  Feb 8, 2020
edited by Guest  Feb 8, 2020
edited by Guest  Feb 8, 2020
edited by Guest  Feb 8, 2020
edited by Guest  Feb 8, 2020
edited by Guest  Feb 8, 2020
edited by Guest  Feb 8, 2020
edited by Guest  Feb 8, 2020
edited by Guest  Feb 8, 2020

3+0 Answers

 #1
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Angle QPR works out to 90 - (41 + 63)/2 = 38 degrees.

 Feb 8, 2020
 #2
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Hello, I realize that problems from AoPS may be challenging. Please use the message board to ask for help. Thank you!

 Feb 8, 2020
 #3
avatar+1486 
+2

The angle  QPR = 28°         

 

 Feb 8, 2020
edited by Dragan  Feb 8, 2020

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