SOLUTION: the three angles of a triangle are in a 1:2:3 ratio. What are their measurements?

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Question 157103: the three angles of a triangle are in a 1:2:3 ratio. What are their measurements?
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
the three angles of a triangle are in a 1:2:3 ratio. What are their measurements?

Let the angles be , , and 

 is to the sum  as  is to the sum 



But since °





Cross-multiply:



Divide both sides by 6

°

--------------

 is to the sum  as  is to the sum 



But since °





Cross-multiply:



Divide both sides by 6

°

-----------

To find the third angle you could just add those
two and subtract from 180°, but as a check you
could do it like the others:

 is to the sum  as  is to the sum 



But since °





Cross-multiply:



Divide both sides by 6

°

Edwin

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