Question

answer questions and question to the problem is in the image

Answer 1

In order to calculate angle PRS, we can use the following property of intersecting chords:

$mPRS=\frac{1}{2}(PS+TQ)$

So, calculating angle PRS, we have:

$\begin{gathered} \text{PRS}=\frac{1}{2}(88+20)_{} \\ \text{PRS}=\frac{1}{2}(108) \\ \text{PRS}=54\degree \end{gathered}$

Therefore the correct option is the third one.