document.write( "Question 986929: If the sum of the measures of two angles is 90 degrees, the angles are complementary. Thus, if the measure of an angle is A degrees, the measure of the compliment is (90 - A)degrees. Find an angle whose measure is 3 greater than twice the measure of its compliment. \n" ); document.write( "
Algebra.Com's Answer #607715 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Let x be the measure of the unknown angle (in degrees). \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then the measure of its complement is (90° - x), and we have an equation \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x - 3 = 2(90-x).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve it:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x - 3 = 180 - 2x,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 2x = 180 + 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x = 183\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer. 61°.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |