The sum of the angles will be a multiple of 180°. And in a polygon number of sides = number of angles.
If the first angle is 110, the others are consecutive : 110-1,110-2,...
We have to make sure that their sum is a multiple of 180°. Let's try with A:
Tot sum angles: 110+110-1+110-2+110-3+110-4=110*5-10=540
multiple of 180. CORRECT
With every other option we would add one or more angles that would make the sum a "NOT" multiple of 180.
Example C) 7:110*7-1-2-3-4-5-6
without doing any math here it's easy to see that -(1+2+3+4+5+6)=-21
so their sum will not be a multiple of 180
It is beyond a doubt that all our knowledge that begins with experience.
Kant , Critique of Pure Reason
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