document.write( "Question 831227: Two angles are supplementary. Three times one angle is equal to the other angle plus the product of 8 and 9. What are the 2 angles? \n" ); document.write( "

Algebra.Com's Answer #501214 by jgr45(31) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "First we need to translate what we're told into equation form. I'll call the angles x and 180-x (supplementary angles total 180):
\n" ); document.write( "3x = (180 - x) + 72 (product of 8 and 9)\r
\n" ); document.write( "\n" ); document.write( "First remove the grouping symbols:
\n" ); document.write( "3x = 180 - x + 72\r
\n" ); document.write( "\n" ); document.write( "Combine the constants:
\n" ); document.write( "3x = 252 - x\r
\n" ); document.write( "\n" ); document.write( "Add x to eliminate it from the right side:
\n" ); document.write( "4x = 252\r
\n" ); document.write( "\n" ); document.write( "Divide by 4:
\n" ); document.write( "x = 63\r
\n" ); document.write( "\n" ); document.write( "This is one angle; the other is its difference from 180, or 117.
\n" ); document.write( "So your supplementary angles are 117 and 63.\r
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "3(63) = (180 - 63) + 72
\n" ); document.write( "189 =? 117+72
\n" ); document.write( "189 = 189 $\"check\"$ \n" ); document.write( "

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