document.write( "Question 77540: Hi,\r
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document.write( "I'm helping my son with his homework and I myself need help understanding it.\r
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document.write( "The question is:\r
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document.write( "Find the measure of an angle if its measure is four times the measure of its complement.\r
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document.write( "Thank you for help.
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Algebra.Com's Answer #55625 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Hi, \n" ); document.write( "I'm helping my son with his homework and I myself need help understanding it. \n" ); document.write( "The question is: \n" ); document.write( "Find the measure of an angle if its measure is four times the measure of its complement. \r \n" ); document.write( "\n" ); document.write( "Thank you for help.\r \n" ); document.write( "\n" ); document.write( "Angles are said to be complementary if they add up to 90 degrees\r \n" ); document.write( "\n" ); document.write( "Lex x= the angle\r \n" ); document.write( "\n" ); document.write( "Then 90-x= its complement\r \n" ); document.write( "\n" ); document.write( "Now we are told that the measure of the angle is 4 times its complement, so:\r \n" ); document.write( "\n" ); document.write( "x=4(90-x) get rid of parens\r \n" ); document.write( "\n" ); document.write( "x=360-4x add 4x to both sides \n" ); document.write( "x+4x=360-4x+4x collect like terms\r \n" ); document.write( "\n" ); document.write( "5x=360 divide both sides by 5\r \n" ); document.write( "\n" ); document.write( "x=72 degrees ------------------answer\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "CK\r \n" ); document.write( "\n" ); document.write( "90-72=18 degrees ------------the complement\r \n" ); document.write( "\n" ); document.write( "4*18=72 \n" ); document.write( "72=72\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |