In the diagram, RT is a tangent to the circle at R, $\angle PQR=70{}^\circ $, $\angle QRT=52{}^\circ $, $\angle QSR=y$ and $\angle PRQ=x$.Calculate the value of x

In the diagram, RT is a tangent to the circle at R, $\angle PQR=70{}^\circ $, $\angle QRT=52{}^\circ $, $\angle QSR=y$ and $\angle PRQ=x$.

Find the value of y

The diagram shows a trapezium inscribed in a semi-circle. If O is the mid-point of WZ  and $\left| WX \right|=\left| XY \right|=\left| YZ \right|$, calculate the value of m

In the diagram, PR is a tangent to the circle  at Q , $QT\parallel RS$, $\angle SQR=35{}^\circ $and $\angle RSQ=50{}^\circ $Find the value of $\angle QST$

Find the value of t in the diagram

In the diagram, PS and RS are tangents to the circle centre O, $\angle PSR=70{}^\circ $, $\angle POR=m$and $\angle PQR=n$. Find (m + n)

In the diagram, RP is a diameter of the circle RSP, RP  is produced to T and TS is a tangent to the circle at S. If $\angle PRS={{24}^{\circ }}$, Calculate the value of $\angle STR$

In the diagram PQ and PS are tangents to the circ centre O. If $\angle PSQ=m$, $\angle SPQ=n$ and $\angle SQR={{33}^{\circ }}$.

Find the value of (m + n)

The diagram show a circle centre O, If $\angle ZYW={{33}^{\circ }}$ Find $\angle ZWX$

The diagram shows a circle centre O if $\angle STR={{29}^{\circ }}$ and $\angle RST={{46}^{\circ }}$, calculate the value of $\angle STO$