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Grogg draws the following figure. It so happens that angle SAP is \(178\) degrees less than 4 times angle SOP. Find the degree measure of angle SAP.

 

 Feb 12, 2022
 #1
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Because angle(SAP) and angle(SOP) each has its vertex on the circle and they cut off the

same arc, arc(SP), they must be equal in size.

 

Let  x  =  angle(SAP)  =  angle(SOP)

 

angle(SAP)  =  4 · angle(SOP) - 178o

                 x  =  4 · x - 178o

              -3x  =  - 178o

 

Now, finish ...

 Feb 12, 2022

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