document.write( "Question 617878: The supplement of an angle measures 10 times the measure of its complement. What is the measure of the angle?\r
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document.write( "Can you break down this answer step by step as possible?
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document.write( "thank you. \n" );
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Algebra.Com's Answer #388611 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! The supplement of an angle measures 10 times the measure of its complement. What is the measure of the angle?\r \n" ); document.write( "\n" ); document.write( "Can you break down this answer step by step as possible? \n" ); document.write( "thank you.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Supplementary angles sum to \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the measure of the angle be A \n" ); document.write( "Then its supplement = 180 - A \n" ); document.write( "Additionally, its complement = 90 - A\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since it's stated that, \"The supplement of an angle measures 10 times the measure of its complement,\" then we'll have: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "180 - A = 10(90 - A)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "180 - A = 900 - 10A\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "- A + 10A = 900 - 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9A = 720\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A, or measure of angle = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com \n" ); document.write( " |