document.write( "Question 346898: Please help me solve this problem: the measure of a supplementary angle is 5 times that of the angle's complement. what is the measure of the complementary angle?
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document.write( "Thank you!
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document.write( "casey03@rcn.com \n" );
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Algebra.Com's Answer #248125 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! the measure of a supplementary angle is 5 times that of the angle's complement. \n" ); document.write( " what is the measure of the complementary angle? \n" ); document.write( ": \n" ); document.write( "Let a = the angle \n" ); document.write( "then \n" ); document.write( "(180-a) = it's supplement \n" ); document.write( "and \n" ); document.write( "(90-a) = it's complement \n" ); document.write( ": \n" ); document.write( "The equation for the statement: \n" ); document.write( "\"the measure of a supplementary angle is 5 times that of the angle's complement.\" \n" ); document.write( "180 - a = 5(90 - a) \n" ); document.write( "180 - a = 450 - 5a \n" ); document.write( "-a + 5a = 450 - 180 \n" ); document.write( "4a = 270 \n" ); document.write( "a = \n" ); document.write( "a = 67.5 degrees \n" ); document.write( "but it says,\" what is the measure of the complementary angle? \" \n" ); document.write( "90 - 67.5 = 22.5 degrees is the complementary angle \n" ); document.write( " |