SOLUTION: In polygon PQRS, m∠R = 30°, m∠PQS = 50°, and SR = 5 cm. If SQ bisects PQR, then PQ= how many cm? https://cdn.ple.platoweb.com/EdAssets/491f3eb127d6451caf5d511320471a83

Algebra ->  Parallelograms -> SOLUTION: In polygon PQRS, m∠R = 30°, m∠PQS = 50°, and SR = 5 cm. If SQ bisects PQR, then PQ= how many cm? https://cdn.ple.platoweb.com/EdAssets/491f3eb127d6451caf5d511320471a83      Log On


   

Question 1083897: In polygon PQRS, m∠R = 30°, m∠PQS = 50°, and SR = 5 cm. If SQ bisects PQR, then PQ= how many cm?
https://cdn.ple.platoweb.com/EdAssets/491f3eb127d6451caf5d511320471a83?ts=635369969024070000
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
X%2B50%2B90=180
X=40
and
30%2B50%2BY=180
Y=100
.
.
.
Using the law of sines,
sin%2850%29%2F5=sin%2830%29%2FQS
QS=5%2A%28sin%2830%29%2Fsin%2850%29%29
QS=5%2A0.6527
QS=3.26
Again using the law of sines,
sin%2890%29%2FQS=sin%28X%29%2FPQ
PQ=3.26%2A%28sin%2840%29%2F1%29
PQ=2.098