Question 148008
In a regular polygon of n sides, the measure of each of the (equal) interior angles is given by:
{{{A[i] = (n-2)180/n}}} Substitute {{{A[i] = 144}}} and solve for n.
{{{144 = (n-2)180/n}}} Multiply both sides by n and simplify.
{{{144n = 180n-360}}} Add 360 to both sides and subtract 144n from both sides.
{{{360 = 36n}}} Divide both sides by 36.
{{{n = 10}}} A decagon.