An ant leaves the anthill for its morning exercise. It walks 4 feet east and then makes a 160? turn to the right and walk 4 more feet,it then makes another 160?turn to right and walks 4more feet. If the ant continues this pattern until it reaches the anthill again. What is the distance in feet it would have walked

Let 'n' such steps Therefore it will form a polygon of sides n, each of interior angle =160° Sum of interior angles of polygon =(n-2)180 deg So each interior angle = (n-2)180/n = 160 (given OR, 180n - 360= 160n, OR, 20n= 360, n= 18 So polygon has 18 sides, But each of side= 4 ft, So total distance covered= 18x4= 72 Feet