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The sides of triangle PQR are tangent to a circle with center C as shown. Given that angle PQR = 68 degrees and angle QRC = 35 degrees, find angle QPR, in degrees.

 

 Aug 3, 2022
 #1
avatar+177 
+5

The way I think about it, the answer is 42. I may be wrong though, since my logic isn't very solid.

 Aug 3, 2022
 #2
avatar+124596 
+2

Draw QC and PC

 

Since angle QRC  =35

Then angle CRP  also = 35 

 

Then angle QRP  = 70

 

And angle   QPR =   180  - 68 - 70 =  180  - 138  =   42°

 

And you are EXACTLY correct !!!!

 

 

cool cool cool

 Aug 3, 2022
 #3
avatar+177 
+4

Yayyy!

waterlili  Aug 4, 2022

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