document.write( "Question 1034934: Find the degree measure of ∠B.
\n" );
document.write( "Given m∠B = 2x+46, m∠E = 3x-1,
\n" );
document.write( "ΔABE is a right triangle with m∠A = 90°
\n" );
document.write( "m∠B = ___°\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #649571 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "\n" ); document.write( "Since this is a right triangle, the sum of the \n" ); document.write( "measures of the two acute angles is 90°.\r \n" ); document.write( "\n" ); document.write( " m∠B + m∠E = 90° \n" ); document.write( "2x+46 + 3x-1 = 90 \n" ); document.write( " 5x+45 = 90 \n" ); document.write( " 5x = 45 \n" ); document.write( " x = 9\r \n" ); document.write( "\n" ); document.write( "m∠B = 2x+46 = 2(9)+46 = 18+46 = 64°\r \n" ); document.write( "\n" ); document.write( "Edwin \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |