Could you please help me determine how to solve this problem and why I got it wrong?

Question

anonymous · Answer

attachment

hartnn · Answer

you got PQR as 50, right?
but RQS is asked 
RQS = 90 -PQR = ...

anonymous · Answer

sorry it wouldn't allow me to type

hartnn · Answer

no problem :)

anonymous · Answer

I can't actually see what you typedbefore, it just cuts off. I didn't actually get 50 or anything, I guess because I didn't have the mere idea on how to do it.

hartnn · Answer

PQS is 90,
so PQR will be 50

and RQS = 90 - PQR

hartnn · Answer

PQS : PQR = 9 : 5 

90 : PQR = 9 : 5

so, PQR = 50

hartnn · Answer

because 90:50 is 9:5

anonymous · Answer

ohh wow, I didn't see it that way

hartnn · Answer

so you know how to solve it?

anonymous · Answer

thank you very much for your help

anonymous · Answer

I am sorry, I am having a lot of problems with this site today, I don't understand how 40 is the answer