text: # The angles of triangle ABC are in the ratio of 8:3:4. What is the measure of the smallest angle?
  
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  Jim G. Share
  Feb 9, 2018
  
  ${36}^{\circ}$
  
  #### Explanation:
  
  $\text{sum the parts of the ratio}$
  
  $\Rightarrow 8 + 3 + 4 = 15 \text{ parts}$
  
  $\text{consider the sum of the 3 angles in 15 parts}$
  
  $\text{so "180^@/15=12^@larrcolor(blue)"1 part}$
  
  $\Rightarrow \text{8 parts } = 8 \times 12 = {96}^{\circ}$
  
  $\Rightarrow \text{3 parts } = 3 \times 12 = {36}^{\circ}$
  
  $\Rightarrow \text{4 parts } = 4 \times 12 = {48}^{\circ}$
  
  $\Rightarrow \text{smallest angle } = {36}^{\circ}$
  
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