Question 258119
I'm assuming that you intended to write "...each "interior" angle of a..."
The measure of an interior angle (A) of a regular polygon of n sides is given by:
{{{A = (n-2)*180/n}}} Substitute A = 160.
{{{160 = (n-2)*180/n}}} Solve for n.
{{{160*n = 180*n-360}}}
{{{20n = 360}}}
{{{n = 18}}}
The regular polygon has 18 sides.