document.write( "Question 27222: The measure of an angle is 44 more than the measure of its supplement. Find the measure of the angles.\r
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Algebra.Com's Answer #14818 by sdmmadam@yahoo.com(530) ![]() You can put this solution on YOUR website! Let the first angle be A degrees and \n" ); document.write( "let the second angle be B degrees \n" ); document.write( "Given A is 44 more than B \n" ); document.write( "Therefore A = B + 44 \n" ); document.write( "Also B is the supplement of A \n" ); document.write( "Therefore A + B = 180 \n" ); document.write( " (B + 44) + B = 180 (putting the value of A in terms of B by data) \n" ); document.write( "By additive associativity and commutativity \n" ); document.write( " 2B + 44 = 180 \n" ); document.write( " 2B = 180 - 44 ( by transposing, change side then change sign) \n" ); document.write( " 2B = 136 \n" ); document.write( " B = 136/2 = 68 and therefore angle B = 68 degrees \n" ); document.write( "And A = B + 44 = 68 + 44 = 112 and therefore angle A = 112 degrees. \n" ); document.write( "Answer : The two angles are 112 and 48 degrees respectively. \n" ); document.write( "Verification: Given that the two angles are supplementary. \n" ); document.write( "Now A + B = 112 + 68 = 180 which is correct. \n" ); document.write( " |