document.write( "Question 474211: ∠PQR and ∠ABC are supplementary angles and ∠PQR is nine times as large as ∠ABC. Determine the measure of each angle. Students must show all work step by step to receive full credit for the problem. \n" ); document.write( "
Algebra.Com's Answer #325227 by stanbon(75887)\"\" \"About 
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∠PQR and ∠ABC are supplementary angles and ∠PQR is nine times as large as ∠ABC. Determine the measure of each angle.
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\n" ); document.write( "Let angle PQR be \"x\"
\n" ); document.write( "Let angle ABC be \"y\"
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\n" ); document.write( "Equations:
\n" ); document.write( "x + y = 180 degrees
\n" ); document.write( "x = 9y
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\n" ); document.write( "Substitute for \"x\" and solve for \"y\":
\n" ); document.write( "9y + y 180
\n" ); document.write( "10y = 180
\n" ); document.write( "y = 18 degrees
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\n" ); document.write( "Solve for \"x\":
\n" ); document.write( "x + y = 180
\n" ); document.write( "x + 18 = 180
\n" ); document.write( "x = 162 degrees
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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