document.write( "Question 985199: A supplement of an angle is 3 times a complement of the angle. What are the measures of the angle, supplement and the complement? \n" ); document.write( "
Algebra.Com's Answer #606015 by srinivas.g(540)\"\" \"About 
You can put this solution on YOUR website!
let x be the angle
\n" ); document.write( "if sum of two angles is 90 , then those are termed as complimentary angles
\n" ); document.write( "let y be the complementary angle
\n" ); document.write( " x+y =90
\n" ); document.write( " y=90-x
\n" ); document.write( " if sum of two angles is 180 , then those are termed as sumplementary angles
\n" ); document.write( "let z be the supplementary angle
\n" ); document.write( " x+z =90
\n" ); document.write( " z=180-x
\n" ); document.write( " A supplement of an angle is 3 times a complement of the angle
\n" ); document.write( " z=3*y\r
\n" ); document.write( "\n" ); document.write( " (180-x)=3(90-x)
\n" ); document.write( " 180-x=270-3x
\n" ); document.write( "move -3x to the left\r
\n" ); document.write( "\n" ); document.write( "180-x+3x=270
\n" ); document.write( "180+2x=270
\n" ); document.write( " 2x=270-180
\n" ); document.write( " 2x=90
\n" ); document.write( " x=90/2
\n" ); document.write( " x=45
\n" ); document.write( " angle (x)= 45 degrees
\n" ); document.write( " supplement angle = 180-45
\n" ); document.write( " =135 degrees
\n" ); document.write( " compliment angle =90-45
\n" ); document.write( " =45 degrees
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );