Question 410597
Start with the formula for the sum (S) of the interior (vertex) angles of a polygon of n sides:
{{{S = (n-2)*180}}} and this is given as 540 degrees, so...
{{{540 = (n-2)*180}}} Divide both sides by 180.
{{{3 = n-2}}} Add 2 to both sides.
{{{5 = n}}}
A five-sided plolygon is called a pentagon.