The problem statement and diagram contain significant inconsistencies, making a definitive solution difficult without clarification. The text states QPR = 20^ and QTR = 80^

Here's the solution for question 10 and 11.

Question 10: Circle Geometry
The problem statement and diagram contain significant inconsistencies, making a definitive solution difficult without clarification. The text states $\angle QPR = 20^\circ$ and $\angle QTR = 80^\circ$. If P and T are both on the circumference and subtend the same arc QR, then $\angle QPR$ must equal $\angle QTR$, which is not the case ($20^\circ \neq 80^\circ$). Additionally, the sum of the central angles marked in the diagram ($30^\circ + 100^\circ + 80^\circ + 70^\circ + 130^\circ =