Question : ABCD is a cyclic quadrilateral in which angle B is opposite to angle D. If $\angle \mathrm{B}=(\mathrm{x}+10)^{\circ}$ and $\angle \mathrm{D}=(2 \mathrm{x}+35)^{\circ}$, then what is the value of $\mathrm{x}$?

Question : $\mathrm{PQRS}$ is a cyclic quadrilateral. In $\mathrm{PQRS}, \angle \mathrm{P}$ is opposite to $\angle \mathrm{R}$. If $\angle \mathrm{P}$ and $\angle \mathrm{R}$ are $3 \mathrm{x}+5$ and $4 \mathrm{x}$ respectively, then what is the value of $\mathrm{x}$ ?

Question : An arc of length $33 \pi\;\mathrm{cm}$ subtends an angle of $132^\circ$ at the centre of the circle. Find the radius of the circle.

Question : It is given that $\triangle \mathrm{PQR} \cong \triangle \mathrm{MNY}$ and $PQ=8\ \mathrm{cm}, \angle Q = 55°$ and $\angle P = 72°$. Which of the following is true?

Question : $\overline{\mathrm{CT}}$ is a tangent to a circle at the point $\mathrm{T}$ on the circle. Chord $\overline{\mathrm{AB}}$ of the circle is extended to meet the tangent $\overline{\mathrm{CT}}$ at the point $\mathrm{C}$. If $\mathrm{m}(\overline{\mathrm{AB}})=3 \mathrm{~cm}$