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 $\mathrm{x}$?

Option 1: 40$^{\circ}$

Option 2: 45$^{\circ}$

Option 3: 50$^{\circ}$

Option 4: 35$^{\circ}$

Question : In a cyclic quadrilateral ABCD. $\angle {A}$ is opposite to $\angle {C}$. If $\angle {A}=110°$, then what is the value of $\angle {C}$?

Option 1: 60 degrees

Option 2: 50 degrees

Option 3: 70 degrees

Option 4: 55 degrees

Question : If $\cot 3 \mathrm{~A}=\tan \left(\mathrm{A}-36^{\circ}\right)$, then what is the value of $\mathrm{A}$?

Option 1: 33.5 degrees

Option 2: 25 degrees

Option 3: 30 degrees

Option 4: 31.5 degrees

Question : In a cyclic quadrilateral MNOP, $\angle$M is opposite to $\angle$O, If 2$\angle$O = 3$ \angle$M, then what is the value of $\angle$M?

Option 1: 88°

Option 2: 108°

Option 3: 72°

Option 4: 96°

Question : In a cyclic quadrilateral ${EFGH}, \angle {E}$ is opposite to $\angle{G}$. If $\angle{E}=95°$, then what is the value of $\angle {G}$?

Option 1: 80°

Option 2: 75°

Option 3: 85°

Option 4: 105°