document.write( "Question 238515: Prove the following statement:\r
\n" ); document.write( "\n" ); document.write( "If a triangle has one obtuse angle, then the other two angles are acute.
\n" ); document.write( "

Algebra.Com's Answer #175252 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
For every triangle,
\n" ); document.write( "\"A%2BB%2BC=180\"
\n" ); document.write( "where A,B,C are the angles.
\n" ); document.write( "An obtuse angle is an angle greater than 90 degrees.
\n" ); document.write( "Let A be an obtuse angle.
\n" ); document.write( "Then A=90+e, where e is a positive value, less than 90.
\n" ); document.write( "\"90%2Be%2BB%2BC=180\"
\n" ); document.write( "\"e%2BB%2BC=90\"
\n" ); document.write( "B and C cannot equal 0.
\n" ); document.write( "\"0%3Ce%3C90\"
\n" ); document.write( "Then
\n" ); document.write( "\"B%2BC%3C90\"
\n" ); document.write( "\"0%3CB%3C90\"
\n" ); document.write( "\"0%3CC%3C90\"
\n" ); document.write( "which means they are both acute.
\n" ); document.write( "
\n" ); document.write( "
\n" );