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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 4:2:8?

 
 Jan 3, 2025
 #1
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77 1/7

 Jan 3, 2025
edited by adook101  Jan 3, 2025
 #2
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The exterior angle would measure

 

[ 8 ] / [ 4 + 2 + 8 ]  * 360  = 

 

[ 8 ] / [ 14 ] * 360  =

 

[ 4/ 7] * 360 ≈  205.7°   

 

Which is impossible because the sum of the exterior angle and its  corresponding interior angle can  never  measure more than 180°

 

cool cool cool

 Jan 4, 2025

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