The formula for the sum of angles is (n-2)x80
where n is the number of sides.
Given that
100+145x(n-1)=(n-2)x180 100+145n-145=180x(n-2) 145n+(100-145)=180x(n-2) 145n-45=180n-360 360-45=35n 315=35n n = 9 the polygon has 9 sides
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