document.write( "Question 399336: can a triangle ever have more than one acute exterior angle? explain. \n" ); document.write( "
Algebra.Com's Answer #282801 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! No. An acute exterior angle means that it's supplement is \n" ); document.write( "greater than 90 degrees. That will be one of the interior \n" ); document.write( "angles of the triangle. \n" ); document.write( "Since the interior angles add up to 180 degrees, that \n" ); document.write( "means the remaining 2 interior angles must add up \n" ); document.write( "to less than 90 degrees. There is no way that one \n" ); document.write( "of these angles can be greater than 90 degees, and \n" ); document.write( "that would be the requirement for an exterior angle \n" ); document.write( "to be acute, or less than 90 degrees. \n" ); document.write( " |