SOLUTION: One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 45 degrees more than that of the smallest angle. Find th

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Question 658008: One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 45 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

One angle in a triangle has a measure that is three times as large as the smallest anglehighlight%28x%29. 

The measure of the third angle is 45 degrees more than that of the smallest angle. 

smallest angle:  x

2nd angle:  3x

3rd angle: x + 45

Question states***

  x + 3x + (x+ 45) = 180°  

        5x = 135°  

         x = 27° , smallest angle.  largest is 81° 

and (3rd angle is 72°  )

 27°  + 81° + 72°   = 180°