document.write( "Question 467538: Find the measure of the smaller angle of complementary angles, if the measure of the larger angle is (5x+18)* and the measure of the smaller angle is half the larger.\r
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Algebra.Com's Answer #320966 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Find the measure of the smaller angle of complementary angles, if the measure of \n" ); document.write( "the larger angle is (5x+18)* and the measure of the smaller angle is half the larger. \n" ); document.write( ": \n" ); document.write( "Angles that are complementary add up to 90 degrees \n" ); document.write( "therefore \n" ); document.write( "If we subtract the larger angle from 90, we get the smaller angle \n" ); document.write( ": \n" ); document.write( "90 - (5x+18) = .5(5x+18) \n" ); document.write( "90 - 5x - 18 = 2.5x + 9 \n" ); document.write( "90 - 18 - 9 = 2.5x + 5x \n" ); document.write( "81 = 7.5x \n" ); document.write( "x = \n" ); document.write( "x = 8.4 \n" ); document.write( ": \n" ); document.write( "Find the larger angle: \n" ); document.write( "5(8.4) + 18 = \n" ); document.write( "42 + 18 = 60 degrees is the larger angle \n" ); document.write( ": \n" ); document.write( "Find smaller which is given as half the larger \n" ); document.write( ".5(60) = 30 degrees is the smaller angle \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "If we did this right the two angles should add up to 90, and they do \n" ); document.write( " \n" ); document.write( " |