document.write( "Question 1059045: The measure of one acute angle of a right triangle is 12 more than 3 times the measure of the other acute angle. Find the measure of each acute angle of the right triangle. \n" ); document.write( "
Algebra.Com's Answer #674130 by addingup(3677)![]() ![]() You can put this solution on YOUR website! 1) A right triangle has one right angle, meaning it has one angle that measures 90 degrees. \n" ); document.write( "2) The sum of the angles of EVERY triangle is 180 degrees \n" ); document.write( "Since we are dealing with a right triangle, we know one angle is 90. Add the other two. Call the angles A, B, C, and let's say that B is the 90 degree angle: \n" ); document.write( "A+B+C = 180 \n" ); document.write( "A+3A+12+90 = 180 \n" ); document.write( "A = 19.5 \n" ); document.write( "and \n" ); document.write( "C = 19.5*3+12 = 70.5 \n" ); document.write( "-------------------- \n" ); document.write( "Check: \n" ); document.write( "19.5+(3*19.5+12)+90 = 180 Correct \n" ); document.write( " |