In the figure below PQR is a tangent to the circle at Q. TS is a diameter and TSR and QUV are straight lines. QS is parallel to TV. Angles SQR = 40° and TQV = 55°.
![figure PQR tangent of the circle](https://www.easyelimu.com/images/form_3_past_papers/Term_1_2021/end_term_1_2021/figure__PQR_tangent_of_the_circle.PNG)
- Find the following angles giving reasons each case.
- <QTS
- <QRS
- <QVT
- <QUT
- Given that QR = 8cm, and SR = 4cm. Find the radius of the circle.