Alright, the ray bisects the angle, meaning each side has a value half of the measure of the original angle.
Since PQR is 82º, both halves equal 41º.
So, since (10x+1) is one of those two halves, we know 10x+1=41.
Now, we just solve.
10x+1=41
-1 -1
10x=40
/10
x=4º
