document.write( "Question 444904: Please help me solve this equation: the measure of the supplement of an angle is 60 degrees less than twice the measure of the angle. Find the measures of both angles. (algebraic solution) \n" ); document.write( "
Algebra.Com's Answer #306603 by swincher4391(1107)![]() ![]() You can put this solution on YOUR website! By definition, supplementary angles add up to 180. So we have two angles. Let's call them A and B. Now we are given an angle. Its measure is 2B - 60. Let's call this A. Then by definition, 2B - 60 + B = 180. Solve for B. Then: \n" ); document.write( "- \n" ); document.write( "3B = 240, B = 80. \n" ); document.write( "- \n" ); document.write( "Since we know B = 80 and we have an expression for A, A= 2B-60, then: \n" ); document.write( "- \n" ); document.write( "A = 2(80) - 60 \n" ); document.write( "A= 100\r \n" ); document.write( "\n" ); document.write( "So our two angles are 100 and 80, which obviously add up to 180. \n" ); document.write( " |