each interior angle of a polygon = \(\frac{(n - 2)\times 180}{n}\) where n = no of side of a polygon each exterior angle of a polygon = \(\frac{360}{n}\) then \(\frac{(n - 2)\times 180}{n}\) = 6\(\times\) \(\frac{360}{n}\) = (n - 2) 180 = 2160 = 180n - 360 = 2160 = 180n = 2160 + 360 = 180n = 2520 therefore, n = \(\frac{2520}{180}\) = 14.