Question 284065
The measure of an interior angle (A) of a regular polygon of n sides is given by:
{{{A = (n-2)*180/n}}} To find n, substitute A = 144 and solve.
{{{144 = ((n-2)*180)/n}}} Multiply both sides by n and simplify the right side.
{{{144n = 180n-360}}} Subtract 144n from both sides.
{{{0 = 36n-360}}} Add 360 to both sides.
{{{360 = 36n}}} Finally, divide both sides by 36.
{{{highlight(10 = n)}}}
The regular polygon has 10 sides.