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Two angles of a triangle have a ratio of 5 to 7. The third angle has a measure of 72 degrees. What is the measure in degrees of the smallest angle in the triangle?

 Nov 6, 2019
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The remaining two  angles must sum to  180 - 72  =  108°

 

This angle can be  subdivided into   12  equal parts....so  each part =  108 /12   =  9°

 

So

 

One angle  =  5(9)  =  45°

And the other  =  7(9) = 63°

 

So...the smallest angle   = 45°

 

cool cool cool 

 Nov 6, 2019

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