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What is the measure (in degrees) of the smallest interior angle of a triangle in which the exterior angle measures have the ratio 3:4:5?

 Sep 8, 2019
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The sum of the exterior angles   = 360°

 

And   the largest  exterior angle will be supplemental to the smallest interior angle

 

And the largest exterior angle  =   (5 / [ 3 + 4 + 5b] ) * 360  =   (5/12) (360)  = 5 * (360/12) = 5 * 30  = 150°

 

So....the smallest interior angle  = 180  - 150   =  30°

 

 

cool cool cool

 Sep 8, 2019

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