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)![]() ![]() ![]() You can put this solution on YOUR website! ∠PQR and ∠ABC are supplementary angles and ∠PQR is nine times as large as ∠ABC. Determine the measure of each angle. \n" ); document.write( "---------- \n" ); document.write( "Let angle PQR be \"x\" \n" ); document.write( "Let angle ABC be \"y\" \n" ); document.write( "---- \n" ); document.write( "Equations: \n" ); document.write( "x + y = 180 degrees \n" ); document.write( "x = 9y \n" ); document.write( "----- \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 \n" ); document.write( "--- \n" ); document.write( "Solve for \"x\": \n" ); document.write( "x + y = 180 \n" ); document.write( "x + 18 = 180 \n" ); document.write( "x = 162 degrees \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " |