Answer:
[tex] m\angle PRQ =49\degree [/tex]
Step-by-step explanation:
[tex] m\angle PSQ = 360\degree - (128\degree + 134\degree )[/tex]
[tex] m\angle PSQ = 360\degree - 262\degree [/tex]
[tex] m\angle PSQ = 98\degree [/tex]
Now, by inscribed angle theorem:
[tex] m\angle PRQ = \frac{1}{2} \times m\angle PSQ [/tex]
[tex] m\angle PRQ = \frac{1}{2} \times 98\degree [/tex]
[tex] m\angle PRQ =49\degree [/tex]
