document.write( "Question 777253: I need help please
\n" ); document.write( "1) angle ABC and angle DEF are supplementary angles. The measure of angle DEF is twenty degrees less than three times the measure of angle ABC. What are the measures m angle ABC and m angle DEF?
\n" ); document.write( "2) line SQ bisects angle RST . m angle QST = 2x+18 and m angle RST =6x-2. What is m angle RSQ? \n" ); document.write( "
Algebra.Com's Answer #473985 by ramkikk66(644)\"\" \"About 
You can put this solution on YOUR website!
1) If two angles are supplementary, the sum of their measures is 180 deg.
\n" ); document.write( "Let measure of ABC be x. Then measure of DEF = 3*x - 20 (i.e. 20 less than
\n" ); document.write( "3 times the measure of ABC)
\n" ); document.write( "Since their sum is 180, we have the equation
\n" ); document.write( "\"x+%2B+3%2Ax+-+20+=+180\"
\n" ); document.write( "\"4%2Ax+=+200\"
\n" ); document.write( "\"x+=+50\"
\n" ); document.write( "So ABC is 50 deg and DEF = 130 deg.\r
\n" ); document.write( "\n" ); document.write( "2) Since SQ bisects RST,
\n" ); document.write( "RSQ = QST = RST/2
\n" ); document.write( "QST = 2*x + 18, RST = 6*x - 2
\n" ); document.write( "QST = RST/2
\n" ); document.write( "i.e \"2%2Ax+%2B+18+=+%286%2Ax+-+2%29%2F2+=+3%2Ax+-+1\"
\n" ); document.write( "Subtracting 2x from both sides
\n" ); document.write( "\"18+=+3%2Ax+-+2%2Ax+-+1+=+x+-+1\"
\n" ); document.write( "\"x+=+19\"
\n" ); document.write( "So QST = 2*x + 18 = 2*19 + 18 = 56 deg
\n" ); document.write( "RSQ is also equal to 56 deg.
\n" ); document.write( "Check for correctness: RST = 6*x - 2 = 6*19 - 2 = 112 deg, which is twice the
\n" ); document.write( "measure of RSQ and QST which is 56 deg. So it is the correct solution.
\n" ); document.write( "Hope you got it :)
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