Question 1177256
<font face="Times New Roman" size="+2">


If all of the measures of the angles are integers, then the largest interior angle would be 178 degrees which would occur when the other two interior angles were 1 degree each.  Since an exterior angle is supplementary to the associated interior angle, the smallest possible exterior angle would be supplementary to the largest possible interior angle and would therefore measure 2 degrees.


																
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
*[illustration darwinfish.jpg]

From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> 
I > Ø
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
{{n}\choose{r}}
</font>