Respuesta :

calculista

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]

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