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 Grogg draws the following figure

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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.

 

 Oct 30, 2020

2+0 Answers

 #1
avatar+1641 
+1

∠SAP ≅ ∠SOP 

 

4x - 178 = x

 

3x = 178

 

x = 59.33333º

 

∠SOP  = 59.33333º

 Oct 30, 2020
edited by jugoslav  Oct 30, 2020
 #2
avatar+37153 
+2

I believe the two inscribed angles are =  (since they intercept the same arc)

so   x = 4x-178             ( x is SAP   ...or SOP)

       -3x = -178

          x = 59.33o

 Oct 30, 2020
edited by Guest  Oct 30, 2020

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