document.write( "Question 669758: The measure of one acute angle of a right triangle is 12 degrees more than the other acute angle. What is the measure of the smallest acute angle? \n" ); document.write( "
Algebra.Com's Answer #416551 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x = smaller angle \n" ); document.write( "x + 12 = larger angle. \n" ); document.write( "sume of the angles is equal to 90 degrees since this is a right triangle. \n" ); document.write( "x + x + 12 = 90 \n" ); document.write( "combine like terms to get: \n" ); document.write( "2x + 12 = 90 \n" ); document.write( "subtract 12 from both sides to get: \n" ); document.write( "2x = 78 \n" ); document.write( "divide both sides by 2 to get: \n" ); document.write( "x = 39 \n" ); document.write( "that's the smaller angle. \n" ); document.write( "x+12 = 51 \n" ); document.write( "that's the bigger angle. \n" ); document.write( "the sum of the angles is 39 + 51 = 90 which is good. \n" ); document.write( " \n" ); document.write( " |