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How many sides would there be in a convex polygon if the sum of all but one of its interior angles is $1070^{\circ}$?

 Apr 29, 2021
 #1
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There will be ten sides.

 Apr 29, 2021
 #2
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8 sides (octagon) laugh

 Apr 30, 2021
 #3
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180(n-2)=1070+m     where m<180  and   (1070+m)mod180=0

n-2=(1070+m)/180

n-2=5+(170+m)/180

m=10

n-2=5+(170+10)/180

n-2=5+1

n-2=6

n=8

 May 4, 2021

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