One interior angle of a convex polygon is 160 degrees. The rest of the interior angles of the polygon are each 146 degrees. How many sides does the polygon have?
Sum of the interior angles of a polygon = (n - 2) (180) where n is the number of sides
So we have this
(n -2) (180) = 160 + 146 (n - 1) simplify
180 n - 360 = 160 + 146n - 146
180n - 360 = 14 + 146n
180n - 146n = 360 + 14
34n = 374
n = 374 / 34 = 11 sides
