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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 $4:5:8?$

 Jul 23, 2021
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The  exterior   angles sum  to  360°

 

The  smallest interior angle  is  :

 

180  -  (8/17)(360)  =

 

180   - 2880 / 17  ≈   10.59°

 

cool cool cool

 Jul 23, 2021

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