document.write( "Question 187795: Help mark solve the following homework problem in geometry: two angles are complementary and one angle is 36 degrees more than twice the other.Find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #140797 by mgmoeab(37) You can put this solution on YOUR website! The two angles are complementary.. that means their sum is equal to 90 degrees. \n" ); document.write( "** \n" ); document.write( "If you choose \"X\" to be one of the unknown angles, and you are told that one angle is 36 degrees more than twice the other, you can write this as: \n" ); document.write( " (36 + 2x) + x = 90 \n" ); document.write( " 36 + (2x + x) = 90 (Group like terms) \n" ); document.write( " 36 + 3x = 90 \n" ); document.write( " 3x = 90-36 \n" ); document.write( " 3x = 54 \n" ); document.write( " x = 18 (This is your first angle)\r \n" ); document.write( "\n" ); document.write( "If you subtract 90-18 = 72 (This is your second angle) \n" ); document.write( "Then the angles are 18 and 72!\r \n" ); document.write( "\n" ); document.write( "Hope it helps! \n" ); document.write( " |