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The measure of one angle is 38 degrees less than the measure of its supplement.  Find the angle.

 Jan 17, 2020
 #1
avatar+107596 
+2

Let S  be the measure of its supplement....so  we have that

 

S + (S - 38)   = 180      simplify

 

2S - 38  =  180           add 38 to both sides

 

2S  =  218                  divide both sides by 2

 

S =  109°

 

So....the angle  = 109  - 38 =   71°

 

 

cool cool cool

 Jan 17, 2020
 #2
avatar+378 
+1

180/2 - 38/2 = 71

 Jan 17, 2020

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