How many sides would there be in a convex polygon if the sum of all but one of its interior angles is 1970 degrees?
The polygon has 28 sides.
(n - 2) * 180 > 1970
180n - 360 > 1970
180n > 2330
n = ceiling [ 2330 / 180 ] = ceiling [ 12.97.... ] = 13 sides