document.write( "Question 547933: Please help me solve this problem.
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document.write( "The sum of the measures of the complement and supplement of an angle is 214 to the 0 power. Find the measure of the angle. \n" );
document.write( "
Algebra.Com's Answer #356712 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The sum of the measures of the complement and supplement of an angle is 214 to the 0 power. Find the measure of the angle. \n" ); document.write( ": \n" ); document.write( "I think you mean degree here, not 214^0, any no. ^0 is equal to 1 and that would not make sense \n" ); document.write( ": \n" ); document.write( "let a = the angle \n" ); document.write( "then \n" ); document.write( "(90-a) = the complement \n" ); document.write( "and \n" ); document.write( "(180-a) = the supplement \n" ); document.write( "; \n" ); document.write( "These are given as = to 214, therefore we have: \n" ); document.write( "(90-a) + (180-a) = 214 \n" ); document.write( "Combine like terms \n" ); document.write( "270 - 2a = 214 \n" ); document.write( "-2a = 214 - 270 \n" ); document.write( "-2a = -56 \n" ); document.write( "a = \n" ); document.write( "a = +28 degrees \n" ); document.write( " |