document.write( "Question 53294This question is from textbook Elementary and Intermediate Algebra
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document.write( ": Another Geometry word problem that I cannot translate into algebra:\r
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document.write( "If two angles are supplementary, and the larger angle is 20 degrees less than three times the smaller angle, find the measure of each angle. \n" );
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Algebra.Com's Answer #35517 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! Supplementary angles are angles that add together to = 180 degrees (a straight line) \n" ); document.write( "If two angles + together=180 \n" ); document.write( "The smaller angle=x \n" ); document.write( "The larger angle is 20 degrees less than (-20) three times (*3) the smaller angle (x). The larger angle=3x-20. \n" ); document.write( "Your problem to solve is: \n" ); document.write( "Smaller angle + larger angle=180 \n" ); document.write( "(x)+(3x-20)=180 \n" ); document.write( "(1+3)x-20=180 \n" ); document.write( "4x-20=180 \n" ); document.write( "4x-20+20=180+20 \n" ); document.write( "4x=200 \n" ); document.write( "4x/4=200/4 \n" ); document.write( "x=50 \n" ); document.write( "The smaller angle:x=50 degrees \n" ); document.write( "The larger angle:3x-20=3(50)-20=150-20=130 degrees \n" ); document.write( " |