WAEC Mathematics 2023 Paper

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.