document.write( "Question 1083897: In polygon PQRS, m∠R = 30°, m∠PQS = 50°, and SR = 5 cm. If SQ bisects PQR, then PQ= how many cm?
\n" ); document.write( "https://cdn.ple.platoweb.com/EdAssets/491f3eb127d6451caf5d511320471a83?ts=635369969024070000 \n" ); document.write( "

Algebra.Com's Answer #698009 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"X%2B50%2B90=180\"$
\n" ); document.write( " $\"X=40\"$
\n" ); document.write( "and
\n" ); document.write( " $\"30%2B50%2BY=180\"$
\n" ); document.write( " $\"Y=100\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Using the law of sines,
\n" ); document.write( " $\"sin%2850%29%2F5=sin%2830%29%2FQS\"$
\n" ); document.write( " $\"QS=5%2A%28sin%2830%29%2Fsin%2850%29%29\"$
\n" ); document.write( " $\"QS=5%2A0.6527\"$
\n" ); document.write( " $\"QS=3.26\"$
\n" ); document.write( "Again using the law of sines,
\n" ); document.write( " $\"sin%2890%29%2FQS=sin%28X%29%2FPQ\"$
\n" ); document.write( " $\"PQ=3.26%2A%28sin%2840%29%2F1%29\"$
\n" ); document.write( " $\"PQ=2.098\"$ \n" ); document.write( "

\n" );