SOLUTION: What is the measure of the third angle? The other two are 54degrees 53'55'', and 105degrees 32'43'' . I have tried to figure this out. I do not understand it.

Algebra ->  Angles -> SOLUTION: What is the measure of the third angle? The other two are 54degrees 53'55'', and 105degrees 32'43'' . I have tried to figure this out. I do not understand it.      Log On


   

Question 898490: What is the measure of the third angle? The other two are 54degrees 53'55'', and 105degrees 32'43'' . I have tried to figure this out. I do not understand it.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the measure of the third angle? The other two are 54degrees 53'55'', and 105degrees 32'43''
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If it's a triangle, the sum of the angles is 180 degs
Add the 2 angles.
105degrees 32' 43''
+54degrees 53' 55''
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159 degs 85' 98"
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98" = 1' 38"
--> 159 degs 86' 38"
86' = 1 deg 26'
--> 160 deg 26' 38"
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Subtract that from 180 degs
180 degs = 179 deg 60' = 179 deg 59' 60"
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+179 deg 59' 60"
-160 deg 26' 38"
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= 19 deg 33' 22"