Question 224560
The measure of an interior angle {{{A[i]}}} of a regular polygon of n sides is given by:
{{{A[i] = (n-2)(180)/n}}} Substitute {{{A[i] = 144}}}
{{{144 = (n-2)(180)/n}}} Multiply both sides by n.
{{{144n = (n-2)(180)}}} Simplify the right side.
{{{144n = 180n-360}}} Add 360 to both sides.
{{{360+144n = 180n}}} Subtract 144n from both sides.
{{{360 = 36n}}} Divide both sides by 36.
{{{10 = n}}}
The number of side is 10. This is called a "decagon"