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The measures of the angles of a triangle are in the extended ratio of 4:12:14. What is the measure of the smallest angle?

 May 21, 2019

Best Answer 

 #1
avatar+8209 
+2

Let the unknown scale factor  =  s

 

The sum of the angle measures in a triangle  =  180°

 

4s + 12s + 14s  =  180°

 

30s  =  180°

 

s  =  6°

 

measure of the smallest angle  =  4s  =  4(6°)  =  24°

 May 22, 2019
 #1
avatar+8209 
+2
Best Answer

Let the unknown scale factor  =  s

 

The sum of the angle measures in a triangle  =  180°

 

4s + 12s + 14s  =  180°

 

30s  =  180°

 

s  =  6°

 

measure of the smallest angle  =  4s  =  4(6°)  =  24°

hectictar May 22, 2019

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