Question 1192703


The sum of the measures of the interior angles of a convex polygon with{{{ n }}}sides is

{{{(n-2)*180 }}}  

given: The sum of the interior angles of a convex polygon measures {{{360}}} degrees

then we have

{{{(n-2)*180=360 }}}  
{{{(n-2)=360/180 }}}  

{{{n-2=2 }}}  
{{{n=2+2 }}}  
{{{n=4 }}} 

=> a polygon with {{{4 }}} sides is a{{{ quadrilateral}}}