document.write( "Question 982289: a student who was given a pentagon with four angle measures was asked to find the fifth angle the student said he would use [(n-2)times 180]/n. will his method work? \n" ); document.write( "
Algebra.Com's Answer #603128 by josgarithmetic(39633)\"\" \"About 
You can put this solution on YOUR website!
That method might or might not work, depending on the pentagon. If not a regular pentagon, it can still be split into separate triangles.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Pick one vertex. Connect this with segments to the two non-adascent vertices. This will form THREE triangles.
\n" ); document.write( "180 degrees per triangle
\n" ); document.write( "3 triangles
\n" ); document.write( "\"3%2Atriangles%2A%28180%2F1%29%28degrees%2Ftriangle%29=3%2A180=540%2Adegrees\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The division by n WILL NOT WORK as a way to find the degrees per angle UNLESS this is a regular polygon. The above calculation is for 540 TOTAL degrees for the interior angles of the pentagon.
\n" ); document.write( "
\n" );