Answer:
[tex]x=1[/tex]
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc it comprises
so
in this problem
m∠SRP=[tex]\frac{1}{2} arc SP[/tex]
m∠PQS=[tex]\frac{1}{2} arc SP[/tex]
therefore
m∠SRP=m∠PQS
[tex]5x+6=9x+2[/tex]
solve for x
[tex]9x-5x=6-2[/tex]
[tex]4x=4[/tex]
[tex]x=1[/tex]
