document.write( "Question 159957: hi, im working on complements and suplements of angles and i had a question from my worksheet.\r
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document.write( "\"The measure of the complement of an angle is 45+x. The measure of the supplement of an angle is 15x-47. What is the measure of the angle?\"\r
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document.write( "My work: 45 + x = 90 15x - 47 = 180 15x 227
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document.write( " -45 = -45 +47 = +47 ---- = --- =(x = 15.13333333)
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document.write( " ------------- --------------- 15x 15x
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document.write( " (x = 45) 15x = 227\r
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document.write( "what i dont get is what to do next. the question is asking for only one of the angles but i have two x's. If i plugg them in then i have two different answers. What should i do next to finish this problem? \n" );
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Algebra.Com's Answer #117929 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The measure of the complement of an angle is 45+x. The measure of the supplement of an angle is 15x-47. What is the measure of the angle? \n" ); document.write( "-------------- \n" ); document.write( "Let the measure of the angle be \"y\". \n" ); document.write( "EQUATIONS: \n" ); document.write( "y + 45+x = 90 \n" ); document.write( "y + 15x-47 = 180 \n" ); document.write( "---------------- \n" ); document.write( "Rearrange to get: \n" ); document.write( "y + x = 45 \n" ); document.write( "y + 15x = 227 \n" ); document.write( "------------- \n" ); document.write( "Subtract 1st from 2nd to solve for \"x\": \n" ); document.write( "14x = 182 \n" ); document.write( "x = 13 \n" ); document.write( "-------------------- \n" ); document.write( "Substitute to solve for \"y\": \n" ); document.write( "y + 13 = 45 \n" ); document.write( "y = 32 (final answer) \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |