Question : In the given figure, QRTS is a cyclic quadrilateral. If PT = 5 cm, SQ = 4 cm, PS = 6 cm, and $\angle$PQR = $63^{\circ}$, then what is the value (in cm) of TR?

Option 1: 3

Option 2: 7

Option 3: 9

Option 4: 15

Question : If $ABCD$ is a cyclic quadrilateral with $\angle A=50^{\circ},\angle B=80^{\circ}$, then $\angle C$ and $ \angle D$ are:

Option 1: $100^{\circ}$ and $130^{\circ}$

Option 2: $115^{\circ}$ and $115^{\circ}$

Option 3: $110^{\circ}$ and $120^{\circ}$

Option 4: $130^{\circ}$ and $100^{\circ}$

Question : ABCD is a cyclic quadrilateral, AB is the diameter of the circle. If angle $\angle ACD=45^{\circ}$, then what is the value of $\angle BAD$?

Option 1: $90^{\circ}$

Option 2: $45^{\circ}$

Option 3: $135^{\circ}$

Option 4: $35^{\circ}$

Question : If $\triangle{PQR} \cong \triangle{STR}, \angle {Q}=50^{\circ}$ and $\angle {P}=70^{\circ}$ and ${PQ}$ is $8 {~cm}$. Which of the following options is NOT correct?

Option 1: $\angle {TSR}=80^{\circ}$

Option 2: $\angle {PRT}=60^{\circ}$

Option 3: ${PR}={RS}$

Option 4: ${TR}={RQ}$

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 figure, $\angle \mathrm{ADB}$ is equal to:
 

Option 1: $40^\circ$

Option 2: $60^\circ$

Option 3: $80^\circ$

Option 4: $50^\circ$