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Grogg draws the following figure.  It so happens tha angle SAP is \(104^\circ\) less than 3 times angle SOP.  Find the degree measure of angle SAP.

 

 Apr 27, 2022
 #1
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Angles SAP  and SOP  are equal  because they are inscribed angles intercepting the same arc SP

 

So

 

SAP  =    SOP

 

3 *SOP  - 104  =  SOP

 

 

3 SOP   -  SOP   =   104

 

2 SOP  = 104

 

SOP  = 104 / 2    =   52°

 

 

cool cool cool

 Apr 27, 2022

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