One interior angle of a polygon is found by the equation: A=(n-2)*180/n where A-----> interior angle of a polygon n-----> the number of sides of the polygon in this problem A=157.5° A=(n-2)*180/n-----> A*n=180*n-360----> 180*n-A*n=360 n*[180-A]=360 n=360/[180-A]-----> n=360/[180-157.5]----> n=16
