document.write( "Question 1029633: Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle? \n" ); document.write( "

Algebra.Com's Answer #644591 by ikleyn(52832) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The sum of interior angles of n-gon is (n-2)*180°.\r\n" );
document.write( "\r\n" );
document.write( "For a pentagon it is (5-2)*180° = 3*180° = 540°.\r\n" );
document.write( "\r\n" );
document.write( "Therefore, the 5-th interior angle is\r\n" );
document.write( "\r\n" );
document.write( "540° - (88° + 118° + 132° + 100°) = 102°.\r\n" );
document.write( "\r\n" );
document.write( "Answer. The missed 5-th angle is 102°.\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );