document.write( "Question 548902: Two angles are complementary. The sum of the measure of the first angle and half the second angle is 81.5. Find the measures of the angles.\r
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document.write( "What is the measure of the smaller angle?
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document.write( "What is the meausre of the other angle? \n" );
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Algebra.Com's Answer #357270 by oberobic(2304) ![]() You can put this solution on YOUR website! Two angles are complementary so they total 90 degrees. \n" ); document.write( "They can be defined as x and 90-x. \n" ); document.write( ". \n" ); document.write( "90-x + 1/2*x = 81.5 \n" ); document.write( ". \n" ); document.write( "Multiply by 2 to eliminate fraction. \n" ); document.write( "180 -2x +x = 163 \n" ); document.write( ". \n" ); document.write( "-x = -17 \n" ); document.write( ". \n" ); document.write( "x = 17 \n" ); document.write( ". \n" ); document.write( "90 -x = 73 \n" ); document.write( ". \n" ); document.write( "Check the relationship. \n" ); document.write( "73 + 1/2*17 = 73 + 8.5 = 81.5 \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |