Question 1178469


The exterior angles of polygons add up to be {{{360}}}, so you would divide {{{360}}} by {{{24}}} to get {{{15}}}. So, you have {{{15}}}-sided polygon

You then subtract {{{24}}} from {{{180}}} (a straight angle) to get {{{156 }}}as the {{{interior }}}{{{angle}}} measurement.

the sum of interior angles of any polygon: 

just multiply the number of sides by measurement of the interior angle


{{{A = 15*156}}}

{{{A = 2340}}}


{{{A = (n-2)*180}}} where {{{A }}}is the sum of all interior angles {{{n}}} is the total number of sides of the polygon

{{{A = (15-2)*180}}}

{{{A = 13*180}}}

{{{A =2340}}}