document.write( "Question 554437: The measure of the complementary angle and the supplementary angle of a given angle is x and 4x respectively. What is the mearue of the given angle? \n" ); document.write( "
Algebra.Com's Answer #361342 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let y be the angle. \n" ); document.write( "you get: \n" ); document.write( "90 - y = x \n" ); document.write( "180 - y = 4x \n" ); document.write( "since x = 90 - y, you can substitute in the second equation to et: \n" ); document.write( "180 - y = 4(90 - y) \n" ); document.write( "simplify to get: \n" ); document.write( "180 - y = 360 - 4y \n" ); document.write( "subtract 180 from both sides of this equation and add 4y to both sides of this equation to get: \n" ); document.write( "4y - y = 360 - 180 \n" ); document.write( "simplify to get; \n" ); document.write( "3y = 180 \n" ); document.write( "divide both sides of this equation to get: \n" ); document.write( "y = 60 \n" ); document.write( "that's your answer. \n" ); document.write( "90 - y = = 90 - 60 = 30 \n" ); document.write( "180 - y = 180 - 60 = 120 \n" ); document.write( "120 is equal to 4 * 30. \n" ); document.write( "this confirms the answer is good.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |