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15% of 85 = 15% * 85 = 0.15 * 85 = 12.75
n * 4 = 80 Divide both sides by 4: n = 20
The formula for the size of the interior angle for a regular polygon is 180°(n-2)/n, where n is the number of edges, i.e. a whole number. If we set this equal to 80° then we get 180°(n-2)/n=80°180°n-360°=80°n100°n=360°n=3.6which isn't a whole number. So no regular polygon can have an interior angle of size 80°.
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